Question

Equatlos Solve the following system of equations for z and for y Value of y System of Equations: y- 10+2z y-58 -6z Value of z Solve the following system of equations for a and for b: System of Equations: Value of a Value of b 8a+4b 24 Plot the following system of equations on the following graph. System of Equations:

Answer 1

y = 10 + 2z - (1) y = 58 - 6z - (2) substitute eq (2) in (1) rightdoublearrow 58 - 6z = 10 + 2z 58 - 10 = 22 + 6z 48 = 8z rightdoublearrow z = 48/8 z = 6 put z = 6 in eq (1) y = 10 + 2z y = 10 + 2(6) y = 10 + 12 y = 22 Value of z = 6 Value of y = 22 (2) 9a + 3b = 30 - (1) 8a + 4b = 24 - (2) eq (2) can be written as following 8a + 4b = 24 8a = (24 - 4b/8) - (3) substitute eq (3) in eq (1) 9 [24 - 4b/8] + 3b = 30 216 - 36b/8 + 3b = 30 216 - 36b + 24b/8 = 30 216 - 36b + 24b = 240 216 - 12b = 240 - 12b = 240 - 216 - 12b = 24 b = -24/12 b = -2 put b = -2 in eq (1) 9a + 3(- 2) = 30 9a - 6 = 30 9a = 30 + 6 9a = 36 a = 36/9 a = 4 Value of a = 4 Value of b = -2