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39 votes
39 votes
Solve Each system of equations.

-r + t = 5
-2r+t=4

User Felipe Lema
by
3.2k points

1 Answer

10 votes
10 votes
Answer is r = 1, t = 6
Solve equations

-(1) + 6 = 5
5= 5

-2(1) + 6 = 4
4=4
_________

Step by step

We have two equations

-r + t = 5 to t = r + 5 when put in y intercept form for easy math

t = r + 5
-2r + t = 4

To solve, substitute the t value from the first equation for t in the second

-2r + (r + 5) = 4
Combine like terms

-1r + 5 = 4

Subtract 5 from both sides to solve for r

-1r + 5 - 5 = 4 - 5
Combine

-1r = -1

Divide both sides by -1 to solve for r

-1/-1 r = -1/-1

r = 1

Now substitute the r value into one of the equations to solve for t

(-1)(1) + t = 5

-1 + t = 5

Subtract (-1) from both sides to solve for
t = 6

Graph in the attachment
Solve Each system of equations. -r + t = 5 -2r+t=4-example-1
User Roy Avidan
by
2.6k points
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