Solve by substitution -x+y=7 and 2x+3y=31
1 answer:
Answer:
(2,9)
Step-by-step explanation:
To do this you have to solve one of the equations for a variable.
-x+y=7
2x+3y=31
Because the first equation doesn't have any numbers attached to the variables I decided to solve for the y in that equation.
-x+y=7
y=x+7
With this now one would have to plug this into the second equations:
2x+3(x+7)=31
Use the distributive property.
2x+3x+21=31
simplify.
5x+21=31
Isolate the x.
-21 -21
5x=10
solve for the x.
x=2
Plug the x into one of the equations and solve for y.
-x+y=7
-2+y=7
isolate the y.
+2 +2
y=9
This is the point of solution.
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