Question

{y=-3x+5 {y=-8x+25 i am so confused

Answer 1

Answer:

$(x,y)=(4,-7)$

Step-by-step explanation:

$y= -3x+5\\y=-8x+25$

Since both expressions $-3x+5$ and $-8x+25$ are equal to $y$ , set them equal to each other forming an equation in x.

$-3x+5=-8x+25$

Move variable to the left-hand side and change its sign

$-3x+8x+5=25$

Move constant to the right-hand side and change its sign

$-3x+8x=25-5$

Collect like terms

$5x=25-5$

Subtract the numbers

$5x=20$

Divide both sides of the equation by $5$

$x=4$

Substitute the given value of $x$ into the equation $y=-3 x4+5$

$y=-3x4+5$

Multiply the numbers

$y=-12+5$

Calculate the sum

$y=-7$

The possible solution of the system is the ordered pair $(x,y)$

$(x,y) =(4,-7)$

Check if the given ordered pair is the solution of the system of equations

$-7=-3 x 4+5\\-7=-8 x4+25$

Simplify the equalities

$-7=-7\\-7=-8 x 4 +25$

Simplify the equality

$-7=-7\\-7=-7$

Since all of the equalities are true, the ordered pair is the solution of the system

$(x,y)=(4,-7)$

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