Question

Solve using elimination. -7x + 8y = 18 -2x - y = -8(_,_)

Answer 1

To answer this question, we need to follow the next steps:

General strategy: We can multiply the second equation by 8 (and sum this equation with the first equation) to eliminate from the equation the variable y. Then, having the value for x, we can then find the value for y.

Having this information, we can proceed as follows:

Then, we have that the value for x = 2.

We can now substitute this value of x into the second equation (it could be also the first equation, but equation 2 is easier to solve) to find the value for y.

Hence, we have:

`-2(2)-y=-8\Rightarrow-4-y=-8\Rightarrow-y=-8+4\Rightarrow-y=-4\Rightarrow y=4`

Therefore, we have that the value for y = 4.

In summary, we have that the solution for this system of linear equations x = 2, and y = 4.