Answer:
If we multiply equation 2 with -6 and add both equations, we can eliminate variable y. The equation is given and solved below.
Step-by-step explanation:
The equations given are:
12x+6y=120
4x+y=30
We need to find How can you change one equation so that one variable is eliminated when the two equations are added?
Let:
[tex]12x+6y=120--eq(1)\\4x+y=30--eq(2)[/tex]
If we multiply equation 2 with -6 and add both equations, we can eliminate variable y.
Solving
[tex]12x+6y=120\\-24x-6y=-180\\---------\\-12x+0y=-60\\-12x=-60\\x=\frac{-60}{-12}\\x=5[/tex]
So, we eliminated the variable y and found the value of x.
Now Putting value of x in any of above equations we can find value of y.
[tex]4x+y=30\\4(5)+y=30\\y=30-20\\y=10[/tex]
So, we get value of y=10
