3x+y=2
7x−4y=30 (1 point)
Responses
To solve this system of equations, we can use the method of substitution or elimination.
Let's use the elimination method. We'll first manipulate the equations to eliminate one variable.
Multiplying the first equation by 4, we get:
12x + 4y = 8
Now, we can add the two equations together to eliminate y:
12x + 4y + 7x - 4y = 8 + 30
19x = 38
x = 2
Now, substitute the value of x back into the first equation to solve for y:
3(2) + y = 2
6 + y = 2
y = -4
Therefore, the solution to the system of equations is x = 2 and y = -4.