one number is 7 more than twice the other number. if the sum of the two numbers is 19, find the two numbers

4 and 15

Step-by-step explanation:

Let the two numbers be a and b.

The sum of the two is 19. Therefore:

One number (let's use a) is 7 more than twice the other. Thus:

Solve for the system of equations. Substitute the second equation into the first:

Subtract 7 from both sides:

Combine like terms:

Divide by 3:

So, b is 4.

And since they add up to 19, this means that a is:

So our numbers are 4 and 15

And we are done :)

one way is to plot 2 points and connect them which is what the answer choices seem to be doing

it seems to be using the y intercept and the slope

y=mx+b, m=slope, b=y-intercept (where the line hits the y axis)

slope=rise/run

y-intercept is where the line croses the y axis which is the y value where x=0

you seem to have given the wrong slope (you didn't put a number in front of te x, it should be 2/3 or 3/2 looking at the answer options)

y=? x-1

m=? because of your fault

b=-1

so it has a slope of ? and y intercept of -1, meaning it pases through (0,-1)

so draw point (0,-1) (so answer is one of the first 2 option)

if slope is 2/3, then go up 2 and right 3 then draw line through those 2 points

if slope is 3/2, then go up 3 and right 2 then draw line through those 2 points