Given the system of equations : y = 3 x + 9 4 x − 9 ...

Question

Question

Given the system of equations

: y = 3 x + 9

4 x − 9 y = − 8

Find the y-coordinate of the point of intersection of the two lines.

math algebra

Answer 1

Answer #1

Finding the y-coordinate of the point of intersection of the two lines.

4a@ + 3k@ → 4 y t l21-הבd = DX+ 36-24 2. 3 the pint nteasechon 1 2 23

Answer 2

Similar Homework Help Questions

Question 20 The solution to the linear inequality − 10 x + 2 y > −...

Question 20 The solution to the linear inequality − 10 x + 2 y > − 4 will be the half-plane lying a) on and below the solid line − 10 x + 2 y = − 4. b) below the solid line − 10 x − 2 y = − 4. c) above the dashed line − 10 x + 2 y = − 4. d) on and above the solid line − 10 x + 2 y = − 4. e) below...
1. (Sections 2.11,2.12) The parametric equations of three lines are given below: 4 : (x, y,...

1. (Sections 2.11,2.12) The parametric equations of three lines are given below: 4 : (x, y, z) = (1,0,0) + (1,0,-1), TER 19 : (x,y, 2) = (1.0.-1) + (0.1, -1), TER 13: (1.7.2) = (1.-1,-1) + (1,1,0), TER Two of these lines intersect. Which two? What is the equation of the plane that they describe? Give full reasons for your answers. 2. (Sections 2.11,2.12) Given the two planes 2-y-z = 0 and r+y-:-1=0. Find a parametric equation for the...
Solve the following system of equations for z and for y System of Equations: y-9+32 Value...

Solve the following system of equations for z and for y System of Equations: y-9+32 Value of z Value of y Solve the following system of equations for a and for b: System of Equations: 9a+36-30 8a + 46 28 Value of a Value of b Plat the following system of equasions on the following sraph System of Equations: Note: Use the orange line (square symbols) to plot the first equation, and use the blue line (airdle symbols) to plot...

Find the point at which the line fix)--2x-3 intersects the line g(x) -x (x, y) =(1-3,-x...

Find the point at which the line fix)--2x-3 intersects the line g(x) -x (x, y) =(1-3,-x Recall that whhen two lines intersect, their point of intersection has the same y-coordinate as well as the same x-coordinate. Thus, if rx)-y and g(x)-y, then fx)-g(x). What are the two expressions in terms of x that are set equal to each other and then solved for x?
x =-y+2 = -z+2 The symmetric equations for 2 lines in 3-D space are given as:...

x =-y+2 = -z+2 The symmetric equations for 2 lines in 3-D space are given as: 1. L,: x-2 = -y+1 = z+1 a) Show that lines L1 and L2 are skew lines. b) Find the distance between these 2 lines x =1-t y=-3+2t passes through the plane x+ y+z-4=0 2. The line Determine the position of the penetration point. a. Find the angle that the line forms with the plane normal vector n. This angle is also known as...
(a) Find symmetric equations for the line that passes through the point (2, -2, 8) and...

(a) Find symmetric equations for the line that passes through the point (2, -2, 8) and is parallel to the vector (-1, 3,-4). -(x + 2) = 3(y-2) = -4(2 + 8). Ox+2-472.28 2-8 -4 -(x - 2) = 3(y + 2) = -4(2-8). *+2.1;2-28 (b) Find the points in which the required line in part (a) intersects the coordinate planes. point of intersection with xy-plane point of intersection with yz-plane point of intersection with xz plane

(1 point) Consider following the system in two equations and two variables: 2x + y ||...

(1 point) Consider following the system in two equations and two variables: 2x + y || IL X – Select all statements below that use linear algebra vocabulary correctly. A. Solution(s) to the system are points in RP. B. The system is a linear combination. C. The system corresponds to two lines. [2 1 51 D. The system is the same as 11 -1 7] E. The system is two lines. F. The solution to the system is the intersection...
Given lines L1 : Ty (1-1)+(21) -2 1 and L2: y 4 8+t2 3 (a) Find...

Given lines L1 : Ty (1-1)+(21) -2 1 and L2: y 4 8+t2 3 (a) Find the point of intersection of lines Lị and L2. (b) Determine the cosine of the angle between lines L, and L2 at the point of intersection. © Find an equation in form ax +by+cz = d for the plane containing lines L, and Lu. (d) Find the intersection, if any, of the line Ly and the plane P : 3x – 4y + 72...
1 Is x=2 y = 2 a solution of the given system of equations? 3x -...

1 Is x=2 y = 2 a solution of the given system of equations? 3x - 4y = 4 X-6y = 2 Is the first equation satisfied? 0 Yes Ο Νο Is the second equation satisfied? Yes Ο Νο 1 As a result, is x=2 y=5 a solution of the given system of equations? 1 Isx=2, y=3 a solution of the given system of equations? eos 3x - 4y = 4 1 15 X-6y = 2 No Is the second...

(a) Find symmetric equations for the line that passes through the point (4, -2, 6) and...

(a) Find symmetric equations for the line that passes through the point (4, -2, 6) and is parallel to the vector (-1, 3, -4) x+ 4-Y+ 2 3 z-6 -4 -(x +4) 3(y 2)-4(z +6). y+2 z-6 3 -(x-4) 3(y +2) -4(z- 6). o4-2-116 = Y - 2-z+6 3 (b) Find the points in which the required line in part (a) intersects the coordinate planes. 5 ,5,0 x ) point of intersection with xy-plane 10 7 point of intersection with...