Question

2x+3y=26 -3x-y=-11 Answer: Enter your answers as integers or as reduced fra Submit Question Jump to Answer

Answer 1

To solve the system of equations, we can use the method of substitution. We substitute the expression for y from one equation into the other and solve for x. Then we substitute the value of x back into one of the equations to find y. The solution is x = 1 and y = -8.

Step-by-step explanation:

To solve this system of linear equations, we can use the method of substitution or elimination. Let's use the method of substitution:

1. From the second equation, solve for y in terms of x: -3x - y = -11 --> y = -3x + 11
2. Substitute this expression for y in the first equation: 2x + 3(-3x + 11) = 26
3. Simplify and solve for x: 2x - 9x + 33 = 26 --> -7x + 33 = 26 --> -7x = -7 --> x = 1
4. Substitute the value of x back into the second equation to find y: -3(1) - y = -11 --> -3 - y = -11 --> y = -8

Therefore, the solution to the system of equations is x = 1 and y = -8.