Answer:
The answer is x=1 and y=1
Step-by-step explanation:
Multiply the second equation by -1, then add the equations together.
(2x+3y=5)
−1(2x+7y=9)
Becomes:
2x+3y=5
−2x−7y=−9
Add these equations to eliminate x:
−4y=−4
Then solve−4y=−4for y:
−4y=−4 Divide -4
[tex]\frac{-4y}{-4}= \frac{-4}{-4}[/tex]
y=1
Now that we've found y let's plug it back in to solve for x.
Here's was the original equation:
2x+3y=5
Substitute 1 for y in 2x+3y=5:
2x+(3)(1)=5
2x+3=5
2x+3+−3=5+−3 ( Add -3 on both sides)
2x=2 Divide by 2
[tex]\frac{2x}{2} =\frac{2}{2}[/tex]
x=1
