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Nastasia [14]
2 years ago
9

Solve the simultaneous equations 3x + y = 25 2x – y = 10

Mathematics
1 answer:
Darina [25.2K]2 years ago
4 0

Answer:

x=7 and y=4

Step-by-step explanation:

I will use the elimination method:

Since the co-efficient of both y's are the same number but different signs we add the 2 equations to eliminate the y:

3x + y =25
+     +     +

2x - y = 10

Simplify:

5x=35

Divide both sides by 5:

5x÷5=35÷5

Simplify:

x=7

Substitute this into either equation 1 or 2 ( I chose 1):

3(7) + y = 25

21 + y = 25

Subtract 21 from both sides and simplify to get y:

21+y-21=25-21

y=4

Therefore x=7 and y=4

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Answer:

94

Step-by-step explanation:

The triangle is split into two similar triangles. They have the same shape but not the same size. To solve, write a proportion to find KY.

\frac{95.2}{168}=\frac{34}{KY}

Cross multiply to solve for KY.

95.2(KY) = 168(34)

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KY = 60

Add KY to 34 to find x.

60 + 34 = 94.

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3 years ago
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3 years ago
Mr. Johnson currently has a square garden. He wants to redesign his garden and make it into a rectangle with a length that is 5
AlekseyPX

Answer:

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Length of the rectangle = 25 feet

Step-by-step explanation:

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