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An unknown number y is 10 more than an unknown number x. The number y is also x less than 3. The equations to find x and y are shown below. y = x + 10 y = −x + 3 Which of the following statements is a correct step to find x and y? Add the equations to eliminate x. Multiply the equations to eliminate y. Write the points where the graphs of the equations intersect the x-axis. Write the points where the graphs of the equations intersect the y-axis.

Respuesta :

sreedavemuri18
(0,3) and (0,10) are the y- intercepts 
(-3.5, 6.5) is the point of interception 
Add the equations to eliminate x

Answer:

The correct option is A.

Step-by-step explanation:

Let two unknown numbers are x and y.

An unknown number y is 10 more than an unknown number x.

[tex]y=10+x[/tex]            ... (1)

The number y is also x less than 3.

[tex]y=-x+3[/tex]           .... (2)

We can use elimination method to solve the system of inequality.

In equation (1) and (2), the coefficient of x is same with opposite sign.

Add the equations to eliminate x.

[tex]y+y=x+10-x+3[/tex]

[tex]2y=13[/tex]

Divide both sides by 2.

[tex]y=6.5[/tex]

Substitute y=6.5 in equation (1).

[tex]6.5=10+x[/tex]

[tex]6.5-10=x[/tex]

[tex]-3.5=x[/tex]

The value of xis -3.5 and value of y is 6.5.

Therefore the correct option is A.

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