Question 389520: solve each system by graphing!
how do i do this?
3x*4y=13
2x+y=5
Answer by haileytucki(390)   (Show Source):
You can put this solution on YOUR website! 2x+y=5
To find the x-intercept, substitute in 0 for y and solve for x.
2x+(0)=5
Remove the parentheses around the expression 0.
2x+0=5
Remove the 0 from the polynomial; adding or subtracting 0 does not change the value of the expression.
2x=5
Divide each term in the equation by 2.
(2x)/(2)=(5)/(2)
Simplify the left-hand side of the equation by canceling the common factors.
x=(5)/(2)
To find the y-intercept, substitute in 0 for x and solve for y.
2(0)+y=5
Multiply 2 by each term inside the parentheses.
0+y=5
Solve the equation.
y=5
These are the x and y intercepts of the equation 2x+y=5.
x=(5)/(2), y=5
3x*4y=13
To find the x-intercept, substitute in 0 for y and solve for x.
3x*4(0)=13
Multiply 3x by 4 to get 12x.
12x(0)=13
Multiply 12x by each term inside the parentheses.
0=13
Since 0$13, there are no solutions.
No Solution
To find the y-intercept, substitute in 0 for x and solve for y.
3(0)*4y=13
Multiply 3 by 4y to get 12y.
12y(0)=13
Multiply 12y by each term inside the parentheses.
0=13
Solve the equation.
No Solution
These are the x and y intercepts of the equation 3x*4y=13.
No x or y intercepts.
I was not sure if each are seperate or you needed solving by using the Graphing Method to solve; if so:
3x*4y=13_2x+y=5
Multiply 3x by 4y to get 12xy.
12xy=13_2x+y=5
Divide each term in the equation by 12x.
(12xy)/(12x)=(13)/(12x)_2x+y=5
Simplify the left-hand side of the equation by canceling the common factors.
y=(13)/(12x)_2x+y=5
Since 2x does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 2x from both sides.
y=(13)/(12x)_y=-2x+5
Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution.
y=(13)/(12x)_y=-2x+5
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