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Crazy boy [7]
4 years ago
7

Solve for x and y by substitution 2x+5y=7 -2x+4y=15

Mathematics
1 answer:
dusya [7]4 years ago
7 0
I first found x using the second equation :

-2x+4y=15
-2x = -4y+15
x =2y-7.5

Then, I substituted this value into the OTHER equation :

2x+5y=7
2(2y-7.5)+5y=7
4y-15+5y=7
9y=22
y=2.444

So you have you y value. Now, input this value into any one of the other equations (it doesn't matter which) to find x.

-2x+4y=15
-2x+4(2.444)=15
-2x+9.776=15
-2x=5.224
x=-2.612.

So the solution for this system of functions is (-2.612, 2.444).
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Answer:

m∠1 = 39.5°

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m∠4 = 50.5°

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m∠1 = 39.5° (Given)

m∠2 = m∠1 = 39.5° (∠1 ≅ ∠2)

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