Question

PLEASE HELP Latrell used linear combination to solve the system of equations shown. He did so by multiplying the second equation by a certain number to eliminate the x-terms. What number did Latrell multiply the second equation by?
x+y=28
0.25x+0.5y=9

Answer 1

Latrell multiplied the second equation by -4

Solution:

Given system of equations are:

x + y = 28 ---------- eqn 1

0.25x + 0.5y = 9 ----------- eqn 2

Latrell used linear combination to solve the system of equations shown

He did so by multiplying the second equation by a certain number to eliminate the x-terms

So, to eliminate the x term from second equation, he should multiply by -4

Multiply second equation by -4

-4(0.25x + 0.5y = 9)

-x - 2y = -36 -------- eqn 3

Now he can add eqn 1 and eqn 3, and eliminate the x terms

Thus, Latrell multiplied the second equation by -4