Solve the system of equations

Question

3X plus Y equals two
7X minus 4Y equals 30

Answer 1

To solve this system of equations, we can use the method of substitution or elimination.

First, solve the first equation for Y:
Y = 2 - 3X

Now substitute this expression for Y into the second equation:
7X - 4(2 - 3X) = 30
7X - 8 + 12X = 30
19X - 8 = 30
19X = 38
X = 38 / 19
X = 2

Now substitute this value of X back into the first equation to solve for Y:
3(2) + Y = 2
6 + Y = 2
Y = 2 - 6
Y = -4

Therefore, the solution to the system of equations is X = 2 and Y = -4.