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.
(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.
\(y=10+x\) ... (1)
The number y is also x less than 3.
\(y=-x+3\) .... (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.
\(y+y=x+10-x+3\)
\(2y=13\)
Divide both sides by 2.
\(y=6.5\)
Substitute y=6.5 in equation (1).
\(6.5=10+x\)
\(6.5-10=x\)
\(-3.5=x\)
The value of xis -3.5 and value of y is 6.5.
Therefore the correct option is A.