Question

Solve the system of equations:

y = 7
-3x - 4y = -19

A) x = -2, y = 7
B) x = 2, y = 7
C) x = -7, y = 7
D) x = 3, y = 7

Answer 1

To solve the system of linear equations, substitute the value of y from the first equation into the second equation and solve for x. Then, substitute the value of x into the first equation to find y. The solution to the system of equations is x = -2/3 and y = 7.

Step-by-step explanation:

To solve the system of equations, you can substitute the value of y from the first equation into the second equation.

1. Start with the equation y = 7.
2. Substitute y = 7 into the second equation: 7 - 3x - 4(7) = -19.
3. Simplify the equation: 7 - 3x - 28 = -19.
4. Combine like terms: -3x - 21 = -19.
5. Add 21 to both sides: -3x = 2.
6. Divide both sides by -3: x = -2/3.
7. Substitute x = -2/3 into the first equation to find y: y = 7.

So, the solution to the system of equations is x = -2/3 and y = 7.