According to the given data we have the following system of equations:
3x+4y=8
2x+3y=8
In order to calculate the variables x and y we would make the following calculations:
3x+4y=8
2x+3y=8
First we would multiply 3x+4y=8 times 2 and 2x+3y=8 times -3 So:
3x+4y=8
2x+3y=8
0 -y=-8
y=8
If y=8, hence, we would substitute the value of y into the first equation so we can finally calculate the variable x.
So:
plug y=8 into 3x+4y=8
3x + 4(8)=8
3x+ 32=8
3x=-24
x=-24/3
x=-8
Hence, the values of x and y would be (-8,8)