Question

solve the system of equations.

y = 2/3x + 1

y = -2/3x + 1

Answer 1

To solve the system of equations, we need to find the values of x and y that satisfy both equations.

Setting the two equations equal to each other:

2/3x + 1 = -2/3x + 1

Adding 2/3x to both sides:

2/3x + 2/3x + 1 = 1

Combining like terms:

4/3x + 1 = 1

Subtracting 1 from both sides:

4/3x = 0

Multiplying by 3 on both sides to get rid of the fraction:

4x = 0

Dividing by 4 on both sides to solve for x:

x = 0

Now, substitute x = 0 back into either equation to solve for y:

y = 2/3(0) + 1
y = 0 + 1
y = 1

Therefore, the solution to the system of equations is x = 0 and y = 1.