Question

X-y equals 8 and 2x plus y equals 7?

Answer 1

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$\huge\purple{\mathfrak{ Question }}$

(x - y = 8) + (2x + y = 7)

$\huge\purple{\mathfrak{ Answer }}$

x - y = 8 ---▶ ( equation 1 )

2x + y = 7 ---▶ ( equation 2 )

Add equations 1 and 2

(x - y = 8) + (2x + y = 7)

x - y = 8

2x + y = 7
__________

3x + 0 = 15
__________

so first we have to find the value of x .

3x + 0 = 15

3x = 15 - 0

3x = 15

x = 15/3

x = 5

$\boxed{x\:=\:5}$

substitute x equal to 5 in any equation number 1 or 2 to find the value of y.

x - y = 8

5 - y = 8

- y = 8 - 5

- y = 3

y = -3

$\boxed{y\:=\:-3}$

$\underline\bold\blue{CHECKING\:THE\: ANSWER}$

substitute x value as 5 and y value as -3.

(x - y = 8) + (2x + y = 7)

[ 5 - (-3) = 8 ] + [ 2(5) +(-3) = 7 ]

[ 5 + 3 = 8 ] + [ 10 - 3 = 7 ]

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