Solve the following system using substitution. Remember to record your answer as (x, y).

Mathematics

1 answer:

natta225 [31]2 years ago

4 0

Answer:

You already have what you are going to substitute, just put the y values from the first equation into the second! Like this:

6x - 5(-2x - 9) = -19

Multiply it out:

6x +10x +45 = -19

Add like terms + simplify:

16x + 45 = -19

16x = -64

x = -4

take that x and put it back into the first equation!!

y = -2(-4) -9

y= 8-9

y= -1

so... your answer is (-4, -1)

hope this helps!

You might be interested in

Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If

natima [27]

Answer:

d) one solution; (4, 1)

Step-by-step explanation:

It often works well to follow problem directions. A graph is attached, showing the one solution to be (4, 1).

_____

You know there will be one solution because the lines have different slopes. Each is in the form ...

y = mx + b

where m is the slope and b is the y-intercept.

The first line has slope -1 and y-intercept +5; the second line has slope 1 and y-intercept -3. The slope is the number of units of "rise" for each unit of "run", so it can be convenient to graph these by starting at the y-intercept and plotting points with those rise and run from the point you know.