Question

Solve the simultaneous equations
y = 3x + 2 and y = x +6

Answer 1

3x + 2 = x + 6
2x - 4 = 0
2x = 4
x = 2
Then substitute back into original equation
y = 3(2) + 2
y = 6 + 2
y = 8

Answer 2

x = 2 and y = 8

can be written:

(2,8)

Explanation:

Starting with:

y = 3x + 2 and

y = x + 6

both are equal to y, so they are equal to each other.

3x + 2 = x + 6

subtract x from both sides.

2x + 2 = 6

subtract 2 from both sides.

2x = 4

divide by 2

x = 2

Then find y. Use either equation.

y = x + 6

y = 2 + 6

y = 8

Check with the other equation.

y = 3x + 2

y = 3(2) + 2

y = 6 + 2

y = 8

So x = 2 and y = 8

This can also be written like a point which is an x and a y like so (x,y)

In this form, the answer is (2,8)