Question
Solve the system of equations
Solve using the substitution method
Solve using the elimination method
Solve using the Gauss-Jordan method
Load more
![arrow-down](data:image/svg+xml;base64,PHN2ZyB3aWR0aD0iMTAiIGhlaWdodD0iMTAiIHZpZXdCb3g9IjAgMCAxMCAxMCIgZmlsbD0ibm9uZSIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KPGcgb3BhY2l0eT0iMC4zNSI+CjxwYXRoIGQ9Ik0yLjUgMy43NUw1IDYuMjVMNy41IDMuNzUiIHN0cm9rZT0iIzIzMjAyRSIgc3Ryb2tlLXdpZHRoPSIxLjUiIHN0cm9rZS1saW5lY2FwPSJyb3VuZCIgc3Ryb2tlLWxpbmVqb2luPSJyb3VuZCIvPgo8L2c+Cjwvc3ZnPgo=)
(x,y)=(4,−3)
Evaluate
{3x+2y=65x+4y=8
Solve the equation for x
More Steps
![solution-arrow](../../wwwstatic/images/solution-arrow-down-1.svg)
Evaluate
3x+2y=6
Move the expression to the right-hand side and change its sign
3x=6−2y
Divide both sides
33x=36−2y
Divide the numbers
x=36−2y
{x=36−2y5x+4y=8
Substitute the given value of x into the equation 5x+4y=8
5×36−2y+4y=8
Simplify
35(6−2y)+4y=8
Multiply both sides of the equation by LCD
(35(6−2y)+4y)×3=8×3
Simplify the equation
More Steps
![solution-arrow](../../wwwstatic/images/solution-arrow-down-1.svg)
Evaluate
(35(6−2y)+4y)×3
Apply the distributive property
35(6−2y)×3+4y×3
Simplify
5(6−2y)+4y×3
Multiply the terms
5(6−2y)+12y
Expand the expression
More Steps
![solution-arrow](../../wwwstatic/images/solution-arrow-down-2.svg)
Calculate
5(6−2y)
Apply the distributive property
5×6−5×2y
Multiply the numbers
30−5×2y
Multiply the numbers
30−10y
30−10y+12y
Add the terms
More Steps
![solution-arrow](../../wwwstatic/images/solution-arrow-down-2.svg)
Calculate
−10y+12y
Collect like terms by calculating the sum or difference of their coefficients
(−10+12)y
Add the numbers
2y
30+2y
30+2y=8×3
Simplify the equation
30+2y=24
Move the constant to the right side
2y=24−30
Subtract the terms
2y=−6
Divide both sides
22y=2−6
Divide the numbers
y=2−6
Divide the numbers
y=−3
Substitute the given value of y into the equation x=36−2y
x=36−2(−3)
Simplify the expression
x=4
Calculate
{x=4y=−3
Check the solution
More Steps
![solution-arrow](../../wwwstatic/images/solution-arrow-down-1.svg)
Check the solution
{3×4+2(−3)=65×4+4(−3)=8
Simplify
{6=68=8
Evaluate
true
{x=4y=−3
Solution
(x,y)=(4,−3)
Show Solution
![solution-arrow](data:image/svg+xml;base64,PHN2ZyB3aWR0aD0iMTciIGhlaWdodD0iMTYiIHZpZXdCb3g9IjAgMCAxNyAxNiIgZmlsbD0ibm9uZSIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KPHBhdGggZD0iTTguNSAyLjY2Nzk3TDguNSAxMi42NjgiIHN0cm9rZT0id2hpdGUiIHN0cm9rZS13aWR0aD0iMS41IiBzdHJva2UtbGluZWNhcD0icm91bmQiIHN0cm9rZS1saW5lam9pbj0icm91bmQiLz4KPHBhdGggZD0iTTEyLjUgOC42Njc5N0w4LjUgMTIuNjY4TDQuNSA4LjY2Nzk3IiBzdHJva2U9IndoaXRlIiBzdHJva2Utd2lkdGg9IjEuNSIgc3Ryb2tlLWxpbmVjYXA9InJvdW5kIiBzdHJva2UtbGluZWpvaW49InJvdW5kIi8+Cjwvc3ZnPgo=)
Graph