Question

Solve.
y=3x-4
y=x+2

Answer 1

x=3
y=5

You can plot the two lines and see where they intersect :)

Answer 2

thank you!(:

Answer 3

For this you can solve by elimination or substitution. Substitution seems easier for these equations.

First, get the x in the bottom equation by itself.
y=x+2
y-2=x
x=y-2

Then substitute the value of x into the first equation.
y=3x-4
y=3(y-2)-4
y=3y-6-4
y=3y-10

Then solve for y
y=3y-10
y-3y=-10
-2y=-10
y=5

Since y=5, solve for x by substituting it into the second equation.

x=y-2
x=5-2
x=3

We now know that x equals 3 and y equals 5. You can check by substituting x and y back into the equations.

y=3x-4
5=3(3)-4
5=9-4
5=5

y=x+2
5=3+2
5=5

Since both equations are true when you substitute x and y back in, the solutions are correct. x=3 and y=5

Answer 4

Thank You!

Answer 5

Graphing also works, but it's not always accurate when you get into bigger numbers and fractions/decimals.