53.4k views
2 votes
1) 2x - y = 10
x y = 11

User Sonstabo
by
8.2k points

1 Answer

3 votes

Answer: To find the values of x and y that satisfy the system of equations:

2x - y = 10 (Equation 1)

x + y = 11 (Equation 2)

One way to solve this system is by using the method of substitution.

From Equation 2, we can isolate x by subtracting y from both sides:

x = 11 - y

Now, substitute this value of x into Equation 1:

2(11 - y) - y = 10

Simplify the equation:

22 - 2y - y = 10

22 - 3y = 10

Next, isolate y by subtracting 22 from both sides:

-3y = 10 - 22

-3y = -12

Divide both sides by -3 to solve for y:

y = -12 / -3

y = 4

Now that we have the value of y, substitute it back into Equation 2 to find the value of x:

x + 4 = 11

Subtract 4 from both sides:

x = 11 - 4

x = 7

Therefore, the solution to the system of equations is x = 7 and y = 4.

You can check this solution by substituting the values of x and y back into the original equations. If the left side of each equation equals the right side, then the solution is correct.

User BrendanMcKee
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories