Question

3x +4y =34 and 2x - y =8​

Answer 1

Step-by-step explanation:

Question

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Solve the following

3x−4y=25

−2x+y=−10

Hard

Solution

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Correct option is A)

Consider the equations:

3x−4y=25...(1)

−2x+y=−10...(2)

Multiply equation (2) by 4, we get

−2x(4)+y(4)=−10(4)

⇒ −8x+4y=−40...(3)

Now add equation (1) and (3), we get

3x−8x−4y+4y=25−40

⇒−5x=−15

⇒x=3

Substitute x=3 in equation (2)

−2(3)+y=−10

⇒−6+y=−10

⇒−y=−10+6

⇒−y=−4

Hence, x=3 and y=−4

Answer 2

The solution to the system of equations is x = 6 and y = 4.

Step-by-step explanation:

To solve this system of equations, we can use the method of substitution.

First, solve the second equation for y:

2x - y = 8

-y = 8 - 2x

y = 2x - 8

Now substitute this value of y into the first equation:

3x + 4(2x - 8) = 34

3x + 8x - 32 = 34

11x - 32 = 34

11x = 66

x = 66/11

x = 6

Now substitute this value of x back into the second equation to find y:

2(6) - y = 8

12 - y = 8

-y = 8 - 12

-y = -4

y = 4

The solution to the system of equations is x = 6 and y = 4.