Question

what is the solution of the system of equations? y = –3x 7 y = 2x – 8 a. (3, –2) b. (–15, 52) c. (–2, 3) d. (0.2, –7.6)

Answer 1

Option A is correct.

Explanation:

Given System of equation are:

y = -3x + 7 ..............(1)

y = 2x - 8 ..........(2)

We have to find the solution of the system of equation.

We use substitution Method,

value of y from equation (1) put in eqn (2),

-3x + 7 = 2x - 8

-3x - 2x + 7 = -8

-5x = -8 - 7

-5x = -15

x = 3

Now put value of x in eqn (1),

y = -3(3) + 7 = -9 + 7 = -2

So, ( x , y ) = ( 3 , -2 )

Therefore, Option A is correct.

Answer 2

y = -3x + 7 = 2x - 8
2x + 3x = 7 + 8
5x = 15
x = 3
y = -3(3) + 7 = -9 + 7 = -2
Solution is (3, -2)