Question

Find the solution to the following system using substitution or elimination: y = 3x + 2 y = -2x - 8 O A. (-5,-) OB. (-2,-4) O C. (1,-6) O D. (-:-)​

Answer 1

B. (-2,-4)

Step-by-step explanation

Given equations:

y = 3x + 2

y = -2x - 8

Solving both equations will yield the values of x and y;

Solution:

y = 3x + 2 ----- (i)

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

Using substitution method, input equation i, into ii

3x + 2 = -2x - 8

Collect like terms and solve;

3x + 2x = -8 -2

5x = -10

x = -2

Then put x = -2 into i, to find y

y = (-2 x 3) + 2

y = -6 + 2 = -4

So, the solution of the equation is B. (-2,-4)