To solve this system of equations:
3x + y = 2
7x - 4y = 30
We can solve it using the substitution method.
First, solve the first equation for y:
y = 2 - 3x
Then substitute this expression for y into the second equation:
7x - 4(2 - 3x) = 30
7x - 8 + 12x = 30
19x - 8 = 30
19x = 38
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 = -4
Therefore, the solution to the system of equations is (2, -4).
So, the correct response is (2, −4).
Solve the system of equations.
3x+y=2
7x−4y=30(1 point)
Responses
(2, −4)
left parenthesis 2 comma negative 4 right parenthesis
(2, −2)
left parenthesis 2 comma negative 2 right parenthesis
(−2, 8)
left parenthesis negative 2 comma 8 right parenthesis
(12, 12)
1 answer