Solve the system equations 3x+y=2 and 7x-4y=30
To solve this system of equations, we can use the method of substitution or elimination. Let's first solve this system of equations using the substitution method.
We are given the following equations:
1) 3x + y = 2
2) 7x - 4y = 30
From equation 1, we can express y in terms of x:
y = 2 - 3x
Now we substitute this expression for y into equation 2:
7x - 4(2 - 3x) = 30
7x - 8 + 12x = 30
19x - 8 = 30
19x = 38
x = 2
Now that we have found x = 2, we can substitute this back into equation 1 to find the value of 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.