Answer: (-1,6)
Step 1: Rewrite the equations
y=4x+10
y=3x+9
Step 2: Determine method of solving
When solving an equation, there are three ways you can do it:
1) Graphing
2) Substitution
3) Elimination
We will solve this using substitution
Step 3: Solve
When solving with substitution, you substitute the first equation into the second. So, we will get the value of y and substitute into where y is in the second equation.
y=4x+10 and y=3x+9 goes into:
4x+10=3x+9
Now let’s solve.
4x+10=3x+9
*subtract 3x on both sides*
4x+10=3x+9
-3x -3x
_________
x+10=9
*subtract 10 on both sides*
x+10=9
-10 -10
______
x=-1
Now we have the value of x. Let’s substitute this into the first equation and find y.
y=4x+10
y=4(-1)+10
y=-4+10
y=6
Now we have y! The ordered pair of this would be (-1,6). And that’s your answer.
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