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Y=2x+3,y=x+2 substitution

User Soyoung
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Final answer:

To solve the system of equations using substitution, substitute the value of y from one equation into the other equation and solve for the variable.

Step-by-step explanation:

Substitution is a method used to solve systems of equations. In this case, the student is given the equations y = 2x + 3 and y = x + 2.

To solve the system using substitution, we can substitute the value of y from the second equation into the first equation.

Since both equations are equal to y, we can set 2x + 3 equal to x + 2. Solving for x, we subtract x from both sides to get x = -1.

Then, we substitute this value back into either equation to solve for y. If we substitute x = -1 into y = 2x + 3,

we get y = 2(-1) + 3 = 1.

Therefore, the solution to the system of equations is x = -1 and y = 1.

User Kalinka
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