4.0k views
1 vote
variable needs to be eliminated to solve the system of equations below. Choose the correct first step. 8, x, minus, 2, y, equals, minus, 46 8x−2y= −46 minus, 8, x, minus, 4, y, equals, 76 −8x−4y= 76 Answer Multiple Choice Answers S, u, b, t, r, a, c, t, to eliminate , x, .Subtract to eliminate x. A, d, d, to eliminate , x, .Add to eliminate x. S, u, b, t, r, a, c, t, to eliminate , y, .Subtract to eliminate y. A, d, d, to eliminate , y, .Add to eliminate y. Submit Answer

User Pijemcolu
by
8.2k points

1 Answer

6 votes

In order to eliminate one variable to solve the system of equations 8x - 2y = -46; -8x - 4y = 76, the first step is to "add to eliminate x".

The correct answer choice is option B.

How to solve system of equation?

8x - 2y = -46

-8x - 4y = 76

To solve the equation by elimination, Add (1) and (2) to eliminate x

-4y + (-2y) = 76 + (-46)

-4y - 2y = 76 - 46

-6y = 30

Divide both sides by -6

y = 30/-6

y = -5

Substitute y = -5 into (1)

8x - 2y = -46

8x - 2(-5) = -46

8x + 10 = -46

8x = -46 - 10

8x = -56

Divide both sides by bb 8

x = -56/8

x = -7

Therefore, x equals -7 and y equals -5

User Elliot Woods
by
7.8k points