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Sagot :

Answer:

x=4 and y=3

Step-by-step explanation:

Ah Algebra...

2x-3y=-1

y=x-1

Let's solve your system by substitution.

2x−3y=−1; y=x−1

Rewrite equations:

y=x−1;2x−3y=−1

Step: Solve

y= x−1

Step: Substitute x−1 for y in 2x−3y=−1:

2x−3y=−1

2x−3(x−1)=−1

−x+3=−1(Simplify both sides of the equation)

−x+3+−3=−1+−3(Add -3 to both sides)

−x=−4−x−1=−4−1

(Divide both sides by -1)

x=4

Step: Substitute4forxiny=x−1:

y=x−1

y=4−1

y=3(Simplify both sides of the equation)

Answer:

x=4 and y=3

Hope this helps :)

Stay Cold,

Brook

Answer:

(4,3)

Step-by-step explanation:

Being that the y variable is isolated in the second equation, the other side of that equation can be substituted for y in the first equation.

[tex]2x - 3(x - 1) = - 1[/tex]

Now simplify for x.

[tex]2x - 3x + 3 = - 1 \\ - x = - 4 \\ x = 4[/tex]

Now with that, insert the x value in for x in the second equation.

[tex]y = (4) - 1 \\ y = 3[/tex]

Now the correct answer is (4,3)