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3x +2y = 13
5x +2y= 15
Solve by substitution

User Rotkiv
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1 Answer

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Final answer:

To solve the given system of equations using substitution, solve one equation for one variable and substitute it into the other equation. The solution is x = 1 and y = 5.

Step-by-step explanation:

To solve the given system of equations using substitution, we need to solve one equation for one variable and substitute it into the other equation. Let's solve the first equation for x:

3x + 2y = 13

3x = 13 - 2y

x = (13 - 2y)/3

Now substitute this value of x into the second equation:

5((13 - 2y)/3) + 2y = 15

Simplify,

(65 - 10y)/3 + 2y = 15

Multiply both sides by 3 to eliminate the fraction:

65 - 10y + 6y = 45

Combine like terms:

-4y = -20

Divide both sides by -4:

y = 5

Now substitute this value of y back into the first equation to find x:

3x + 2(5) = 13

3x + 10 = 13

3x = 3

x = 1

Therefore, the solution to the system of equations is x = 1 and y = 5.

User Vincent L
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