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weeeeeb [17]
3 years ago
10

Solving system by substitution x=3y+11, 2x-3y=16

Mathematics
2 answers:
grin007 [14]3 years ago
5 0
Input 3y+11 for x

2(3y+11)-3y=16
6y+22-3y=16
3y= -6
Divide by 3 to isolate y
y=-2

Now for x....

x=3(-2)+11
=-6+11
=5
x=5

Coordinates (5,-2)
victus00 [196]3 years ago
4 0
1. You plug the x equation in the nest on. 2(3y+11)-3y=16.

2. You then simplify it. 6y+22-3y=16

3. You simplify it more. 3y+22=16.

4. Next you subtract 22 from each side. 3y=-6.

5. Divide both sides by 3. y=-2

6. Then substitute y for the first equation. x=3(-2)+11

7. Next you simplify. x=-6+11

8. Simplify more. x=5

9. You get your results. x=5 and y=-2
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3 years ago
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Community property<br>a d simplify
Natalija [7]

Ah, the commutative property.

a + b = b + a

xy = yx


When using the commutative property - a good way to remember it is to think of a community, in which each community member helps one another to a mutual outcome.


Using the commutative property we can rearrange this equation into a more sensical format:

-8.9 + 6.7 - 1.1

6.7 - 1.1 - 8.9

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4 0
3 years ago
9 is the difference between two numbers, and their sum is 31. Find the numbers.
algol [13]

Answer:

The first number is 20, the second one is 11

Step-by-step explanation:

Let the first number be x and the second number be y

Since it says "9 is the difference between two numbers", the first equation will be x-y=9

It also says that "their sum is 31". That means the second equation will be x+y=31

here are the two equations:

x-y=9

x+y=31

You can solve this any way you like, but I'll show elimination

add the two equations

x-y=9

x+y=31

2x=40

divide by 2

x=20

Substitute 20 as x in one of the equations

20+y=31

subtract 20 from both sides

y=11

That means the two numbers are 20 and 11

Hope this helps!

4 0
3 years ago
. -3(2x + 1) = 2(-3x - 1)
Marina CMI [18]
No solution to this problem
4 0
3 years ago
Write an equation in slope-intercept form for the line that passes through (1,9), and (3,5).
Tcecarenko [31]

To write the equation of the line, we will use the point-slope formula.

To do this, we need a point and a slope.

We can find out slope by using the slope formula.

m = y₂ - y₁ / x₂ - x₁

So we have 5 - 9 / 3 - 1 or -4/2 which is -2.

Now let's use the point-slope formula.

y - y₁ = m(x - x₁)

Now substitute one of our points (x₁, y₁) into our formula.

So we have y - 5 = -2(x - 3).

Distributing the -2 gives us y - 5 = -2x + 6.

Moving the -5 to the right, we have y = -2x + 11.

So y = -2x + 11 is our equation.

8 0
3 years ago
Read 2 more answers
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