4. 13x + 5y = -11
13x + 11y = 7
Solution:

(-2,3) x= -2 y=3

Step-by-step explanation:

The first thing you should do is convert both into standard y=mx+b form

For the first equation you subtract 5y and add 11 to both sides to get

13x+11= -5y

you divide by negative 5 to get

-13x/5-11/5=y

For the second equation we subtract 11y and 7 from both sides to get

13x-7= -11y

divide both sides by -11 to get

-13x/11 + 7/11

We then set both equations equal to each other and solve for x

-13x/5-11/5= -13x/11 + 7/11

Add 11/5 to both sides to get

-13x/5 = -13x/11 + 156/55

Add 13x/11 to both sides to get

-78/55x=156/55

Divide and solve for x to get -2

Then plug x = -2 into the original equations to find y

13*-2 + 5y = -11

-26 + 5y = -11

Add 26 to both sides

5y= 15

y =3

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions