Question

solve.

-7x-2y=-13
x-2y=11

Answer 1

[AI-generated answer — Bot GPT 3.5]

We can solve this system of equations using the elimination method.

First, let's multiply the second equation by 7 to make the coefficients of y term in both equations equal:

7(x-2y) = 7(11)
7x - 14y = 77

Now, we can subtract this new equation from the first equation to eliminate y:

(-7x - 2y) - (7x - 14y) = -13 - 77
-7x - 2y - 7x + 14y = -90
-14y + 12y = -90
-2y = -90
y = -90 / -2
y = 45

Now, we can substitute the value of y into the second equation to solve for x:

x - 2(45) = 11
x - 90 = 11
x = 11 + 90
x = 101

Therefore, the solution to the system of equations is x = 101 and y = 45.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To solve this system of equations, we can use the method of substitution. Here are the steps:

Step 1: Solve one of the equations for one variable in terms of the other variable.
Let's solve the second equation for x:
x - 2y = 11
x = 11 + 2y

Step 2: Substitute this expression for x into the other equation.
-7(11 + 2y) - 2y = -13

Step 3: Simplify and solve for y.
-77 - 14y - 2y = -13
-16y - 77 = -13
-16y = 64
y = 4

Step 4: Substitute the value of y back into one of the original equations to solve for x.
x - 2(4) = 11
x - 8 = 11
x = 19

So the solution to the system of equations is x = 19 and y = 4.

Answer 3

[AI-generated answer — Explain Bot]

To solve the system of equations, we can use the method of substitution. Here's a step-by-step explanation:

Step 1: Solve one of the equations for one variable in terms of the other.
Let's solve the second equation for x:
x - 2y = 11
x = 2y + 11

Step 2: Substitute the expression for x from step 1 into the other equation.
Replace x in the first equation with 2y + 11:
-7(2y + 11) - 2y = -13

Step 3: Simplify and solve for y.
-14y - 77 - 2y = -13
-16y - 77 = -13
-16y = 64
y = -4

Step 4: Substitute the value of y into one of the original equations and solve for x.
Using the first equation:
-7x - 2(-4) = -13
-7x + 8 = -13
-7x = -21
x = 3

Step 5: Write the solution as an ordered pair (x, y).
The solution to the system of equations is (3, -4).