Answer:
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Step-by-step explanation:
So in this case, we have to replace the known value.
y=3
y=-2x+3
3=-2x+3
Then we leave our unknown value alone.
= x
In this case, our x value would be 0.
We check it...
3=-2(0)+3
3=0+3
3=3
So y=3 x=0
For the second one we have...
y=3x+2
y=-3x-4
For this we substitute the y in any of the equation...
3x+2=-3x-4
We move the unknown values to one side and the ones without unlown values to the other side...
3x+3x=-4-2
Then we solve
6x=-6
Then we leave the unknown value alone.
x=
Then solve for x.
x= -1
Then for our y value we return to one of the original equations and substitute the x value.
y=3x+2
y=3(-1)+2
y=-3+2
y=-1
y=-3x-4
y=-3(-1)-4
y=3-4
y=-1
So in this case we got that x= -1 and y= -1
The simplified version of this x-2z
Step-by-step explanation:
You need to start by combining like terms. You can start with the terms that have the variable x in them. By combining those terms, the equation becomes x+3y-z-3y-z.
From here, you can combine the terms 3y and -3y, which bring the equation to x-z-z.
From here, combine the terms with the variable z. This would bring the equation down too x-2z, your final answer.
Answer:
(3, 2) is the ordered pair for the given system of equations.
Step-by-step explanation:
Given:
2 x+ y = 8.......................(i)
y = - x + 5........................(ii)
<u>Put y = - x + 5 in equation (i)-</u>
<em>2 x + ( - x+ 5) = 8</em>
<em>2 x - x + 5 = 8</em>
<em>x = 8 - 5</em>
<em>x = 3</em>
<u>Now put x = 3 in equation (ii)-</u>
<em>y = - 3 + 5</em>
<em>y = 2</em>
Hence the (3, 2) is the correct ordered pair.