Question

5x+4y=16 -2x-4y=-4 Show your step by step process.Solve the system of linear equations.​

Answer 1

Answer:

x=1 and y= 5$\frac{1}{4}$

Step-by-step explanation:

To solve this, lets take the first equation and find the x value.

Because it is ordered in standard form, we need to convert to slope-intercept form, and isolate the y.

5x+4y=16

-5x       -5x

4y=-5x+16

÷4   ÷4  ÷4

y=$\frac{-5}{4}$+4

or

y=-1$\frac{1}{4}$+4

or

y= 5$\frac{1}{4}$

Now that we have the y value, we can use this to find the x value by inserting it into either equation, since they both have y values in them. Going with the first one again, lets try it:

5x+4($\frac{-5}{4}$+4)=16

5x-5+16=16

5x+11=16

    -11 -11

5x=5

÷5 ÷5

x=1 and y= 5$\frac{1}{4}$