SOLUTION: 7. Solve the following system of equations using substitution, elimination, or graphing. Please and Thank you.
y=2x+6
2y+3x=5
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Question 159294: 7. Solve the following system of equations using substitution, elimination, or graphing. Please and Thank you.
y=2x+6
2y+3x=5
Found 2 solutions by jim_thompson5910, jojo14344:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given system
Plug in into the second equation. In other words, replace each with . Notice we've eliminated the variables. So we now have a simple equation with one unknown.
Distribute
Combine like terms on the left side
Subtract 12 from both sides
Combine like terms on the right side
Divide both sides by 7 to isolate x
Divide
Now that we know that , we can plug this into to find
Substitute for each
Multiply
Add
So our answer is and which forms the ordered pair )
Notice if we graph the two equations, we can see that their intersection is at . So this visually verifies our answer.
Graph of (red) and (green)
Questions? Email me at jim_thompson5910@hotmail.com
Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!
----------------> eqn 1
---------------> eqn 2
Substitute eqn 1 in eqn 2:
, distribution
,
For via eqn 1:
Check it out via eqn 2:
See graph below:
-----> see the intersection at point (-1,4). Then our answers are right.
Thank you,
Jojo
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