Question

Solve the system of equations using the substitution method. Y = 7x – 16, y = 2(2x – 5) What is the solution? ( , )

Answer 1

Answer is ( 2, -2 ) so x=2 and y=-2

Answer 2

(2,-2)

Explanation:

This pair of linear equations may be solved simultaneously by using the elimination method. This will involve ensuring that the coefficient of one of the unknown variables is the same in both equations. It may be solved by substitution in that one of the variable is made the subject of the equation and the result is substituted into the second equation.

Given that Y = 7x – 16, y = 2(2x – 5)

Equating both equations

7x - 16 = 4x - 10

7x -4x = 16 - 10

3x = 6

x = 2

Substituting the value of x into Y = 7x – 16

y = 7(2) - 16

y = 14 - 16

y = -2

hence

(x,y) = (2,-2)