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2 years ago

Solve by using substitution. State the solution as an ordered pair. 5x-y=1 -10x+2y=-2

Mathematics

1 answer:

Anni [7]2 years ago

6 0

Answer:

The solution to the system of equations is x=1/5 y= 0

Step-by-step explanation:

solving this system of equation using substitution method

5x-y=1 ….. equation (1)

-10x + 2y =-2 ….. equation (2)

Solving for value of x from equation 2

-10x =-2-2y

so x= -2-2y/-10 = - 2(1+y)/-10=

so x = 1+y/5......... equation 3

The second equation is solved for x, so we can substitute the expression 1+y/5 in for x in the first equation (1)

-10(1+y)/5+2y=-2

-2(1+y) + 2y = -2

-2-2y= -2

-2y= -2+2

y=0

Putting value of y in equation 3

x = 1+y/5.

x= 1+ 0/5 = 1/5

The solution to the system of equations is x=1/5 y= 0

We can check our work by plugging these numbers back into the original equations. Let's try 5x-y=1

5(1/5)-0=1

1 -0= 1

1=1

Yes, our solution checks out.

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From (1) , (2) , (3 ) and (4) it is clear that

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