To use the linear combination method and addition to eliminate the y-terms, the second equation should be multiplied by 4.
What is equation?
An equation is like a relationship between two or more variables. It is expressed in equal to form. Equation of two variables looks like: ax+ by=c.
It is solved to find the value of variables.
How to solve equation?
The given equations are 7x+16y= -2 and 9x-4y=22 and we have to solve using linear combination method.
First we have to change -4y to -16y because after we have to do addition so we will multiply the second equation by 4 which makes the equation as under:
36x-16y=88
Adding equation 1 and 2
7x+16y+36x-16y=-2+22
42x=20
x=20/42
x=10/21
Put the value of x in 7x+16y=-2
7(10/21)+16y=-2
10/3+16y=-2
16y=-2-10/3
16y=-16/3
y=-1/3
Hence to solve the equations we need to first multiply second equation by 4 which is option D.
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