Question

Can you help me solve systems of equations by elimination step by step 6x+y=15 -7x-2y=-10

Answer 1

Answer:   (4, -9)

Step-by-step explanation:

Use elimination method.  Manipulate one (or both) equations to eliminate one of the variables and solve for the remaining variable.  I will be eliminating y

6x +  y =  15    → 2(6x +  y =  15)   →   12x + 2y = 30

-7x - 2y = -10   → 1(-7x + 2y = -10)   →   -7x - 2y = -10

                                                             5x        = 20

                                                               x         =  4

Next, replace "x" with "4" into either equation and solve for y.

6(4) + y = 15

24  + y = 15

         y  = -9

Check:

Plug in x = 4 and y = -9 into the other equation to verify it makes a true statement.

-7x - 2y = -10

-7(4) - 2(-9) = -10

-28  -   -18  = -10

-28  +  18 = -10

       -10    =  -10  $\checkmark$