Question

What is the solution of the system of equations?

y=5/6x+1
−x+y=2



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Answer 1

I don't know, but since y = x+2,

x-2 = (5/6)x+1
Now solve for x, and then y=x+2

Answer 2

[AI-generated answer — Explain Bot]

To find the solution of the system of equations, we can solve them simultaneously by using the method of substitution or elimination. Let's solve it using the method of substitution.

Step 1: Solve one of the equations for one variable in terms of the other variable. Here, we solve the second equation for x in terms of y:
-x + y = 2
x = y - 2

Step 2: Substitute the expression for x from Step 1 into the other equation.
y = (5/6)x + 1
y = (5/6)(y - 2) + 1

Step 3: Simplify the equation by distributing and combining like terms.
y = (5/6)y - 5/3 + 1
y = (5/6)y - 2/3

Step 4: Move all terms involving y to one side and all constants to the other side.
(5/6)y - y = 2/3
(-1/6)y = 2/3

Step 5: Multiply both sides of the equation by the reciprocal of (-1/6) to solve for y.
y = (2/3) / (-1/6)
y = (2/3)(-6/1)
y = -4

Step 6: Substitute the value of y back into one of the original equations to solve for x.
x = y - 2
x = -4 - 2
x = -6

So, the solution to the system of equations is x = -6 and y = -4.