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Jet001 [13]
2 years ago
11

4x-5y=-15 7x-2y=21 X= Y=

Mathematics
1 answer:
Helen [10]2 years ago
4 0

Answer:

The values of x and y to the given equations are x=5 and y=7

Step-by-step explanation:

Given equations are 4x-5y=-15\hfill (1)

7x-2y=21\hfill (2)

To solve the given equations by elimination method :

Multiply the equation (1) into 2 we get

8x-10y=-30\hfill (3)

Multiply the equation (2) into 5 we get

35x-10y=105\hfill (4)

Now subtracting the equations (3) and (4) we get

8x-10y=-30

35x-10y=105

_________________

-27x=-135

x=\frac{135}{27}

Therefore x=5

Now substitute the value of x=5 in equation (1) we get

4(5)-5y=-15

20-5y=-15

-5y=-15-20

-5y=-35

y=\frac{35}{5}

Therefore y=7

The values are x=5 and y=7

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