<u>Answer:</u>
On solving the system of linear equations y=-x and y=3x-4 we get the values of x and y as -1 and 1 respectively.
<u>Solution:</u>
We are given two equations and asked to solve the system of linear equations.
The two given equation are
y = -x --eq1
y = 3x-4 --eq2
Now we rearrange the eq1 so that we can substitute the value of x in eq2 and solve it.
Now rearranging the eq1 we have;
x=-y--eq3
now substituting eq3 in eq2 we get;
y=3(-y)-4
we now simplify the equation and solve for y
y=-3y-4
y+3y=-4
4y=-4
y = -1
Now we substitute the value of y in eq3 to get the value of x
x=-(-1)
x = 1
Therefore on solving the system of linear equations we get the values of x and y as -1 and 1 respectively.