Question

What is the solution to the 2 equations?
3x - 5y = 11
2x + 4y = 9

Answer 1

so technically r both equations x and y the same number?

Answer 2

Im not sure

Answer 3

ok

Answer 4

this is hard. just plug in numbers that equal to it

Answer 5

Yes, the solution to the system of equations will have the same value for \(x\) in both, and the same value for \(y\) in both.

Answer 6

i will leave then

Answer 7

I have to graph them and then find the solution but Im having a hard time graphing it

Answer 8

If you graph both equations, you will get two straight lines (though one may be on top of the other), and if they intersect, the point of intersection is the solution.

Answer 9

@yuna123, I know you'd like to help, and appreciate that, but your comments so far have been off the wall. Please suggest methods such as substitution, elimination, graphing, and so on, methods that truly succeed.

Answer 10

My easy approach to graphing lines: put \(x=0\) solve for value of \(y\). Put a point at \(0,y\). Put \(y=0\), solve for value of \(x\). Point a point at \(x,0\). Draw a straight line through the points. Done.

Answer 11

My teacher has only given me a graph that shows quadrant 1

Answer 12

Does it show the two lines?

Answer 13

Ah, no, I guess you are supposed to use that as graph paper.

Answer 14

My question says
Write the equations in slope intercept form.
Graph the pair of linear equations.
Use the graph to estimate the solution to the system of equations.

Answer 15

Okay, helpful if you provide all the info up front.

Slope-intercept form is \[y = mx + b\]where \(m\) is the slope and \(b\) is the \(y\)-intercept. To put your equations in this form, just solve them for \(y\) alone on the left side of the \(=\).

Answer 16

3x - 5y = 11 would be y = 0.6x - 2.2?
and 2x + 4y = 9 would be y = -0.5x + 2.25?

Answer 17

I would keep them as fractions, personally, but those appear correct.

Answer 18

So then they would be
y = -2/4x + 2.25?
y = -3/5x - 2.2?

Answer 19

There is no solution then...

Answer 20

y=25

Answer 21

No, I wouldn't use any decimals whatsoever.
\[3x - 5y = 11\]\[
2x + 4y = 9\]
\[3x-5y = 11\]\[5y = 3x-11\]\[y = \frac{3}{5}x-\frac{11}{5}\]
\[2x+4y=9\]\[4y = -2x+9\]\[y = -\frac{1}{2}x+\frac{9}4\]

Those lines have different slopes, so there most definitely IS a solution. @denisaboichuk that is not it.