Question

Can somebody help me?

(2, 9) is the solution of the system of equations.

y = x + 7
y = 2x + 5

true or false

Answer 1

True! Since if you replace x and y with 2 and 9, you will get 9 = 2 + 7 or 9 = 2 x 2 + 5 which makes the equation true.

Answer 2

• Yes it's TRUE that ( 2 , 9 ) is the solution of given equations .

Explanation:

In the question it is given that whether ( 2 , 9 ) is solution of system of equations that are y = x + 7 and y = 2x + 5 .

And we have to tell that it is true or false.

Solution : -

As in the question we're provided with ( 2 , 9 ) . So , Here :

• Value of x is 2

• Value of y is 9

( 1 )

`\longmapsto \qquad \:y = x + 7`

Substituting value of x and y in equation :

`\longmapsto \qquad \: 9 = 2 + 7`

`\longmapsto \qquad \: \boxed{\bf{9 = 9}}`

As we see that left side is equal to right side .

• Therefore ( 2 , 9 ) is the solution of y = x + 7 .

( 2 )

`\longmapsto \qquad \: y = 2x + 5`

Substituting value of x and y in equation :

`\longmapsto \qquad \: 9 = 2(2) + 5`

`\longmapsto \qquad \: 9 = 4 + 5`

`\longmapsto \qquad \: \boxed{ \bf{9 = 9}}`

As we see that left side is equal to right side .

• Therefore ( 2 , 9 ) is the solution of y = 2(x) + 5 .

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