1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
aleksandr82 [10.1K]
3 years ago
12

1. Solve the system of equations by substitution and check your solution.

Mathematics
1 answer:
dedylja [7]3 years ago
6 0

Answer:

x = 7 and y = −2

(7, -2)

Step-by-step explanation:

x = 1 - 3y

3x + 3y = 15

Substitute −3y + 1 for x in 3x + 3y = 15:

3(1 - 3y) + 3y = 15

3 - 9y + 3y = 15

3 - 6y = 15

-3           -3

-6y = 12

/-6     /-6

y = -2

Now we solve for x. Substitute −2 for y in x = −3y + 1:

x = 1 - 3y

x = 1 + (-3)(-2)

x = 1 + 6

x = 7

Now we check our solution.

x = 1 - 3y

7 = 1 + (-3)(-2)

7 = 7 ✅

3x + 3y = 15

3(7) + 3(-2) = 15

21 - 6 = 15

15 = 15 ✅

You might be interested in
5 x a x 5 x a simplified
Fittoniya [83]

Answer:

5a^2

Step-by-step explanation:

5ax5a=5a^2

3 0
3 years ago
Van is studying the effects of an indoor pool
Artyom0805 [142]

Answer:

The answer is C

Step-by-step explanation:

hope this helps

7 0
3 years ago
Find the volume of the solid figure shown below. The area of the base is 40 square inches and the height of the figure is 7 inch
Marrrta [24]

Answer:

\displaystyle V _{ \text{cuboid}} =280  {in}^{3}

Step-by-step explanation:

we are given the base area and the height of a solid figure

since the base area is not perfect square

we assure the solid figure to be a cuboid

remember that,

\displaystyle V _{ \text{cuboid}} = l\times w \times h

we are given l×w is 40 and h is 7

so substitute

\displaystyle V _{ \text{cuboid}} =40 \times 7

simplify multiplication:

\displaystyle V _{ \text{cuboid}} =280

hence,

the volume of the figure is 280 in³

4 0
3 years ago
Will someone please explain how to do this?
VladimirAG [237]
The answer you have selected is correct
3 0
3 years ago
Read 2 more answers
Glenda paid $23 for 6 books.What is the rate that Glenda paid for each book?
Gnoma [55]

Answer:

$3.83

Step-by-step explanation:

23 divided by 6=3.83333333333.....

We round to nearest cent. 3.83

6 0
3 years ago
Other questions:
  • How do I solve (2x^3)^4?
    8·2 answers
  • The mouse weights​ (in grams) of a random sample of 100 mice involved in a nutrition experiment​ are: Interval 41.5----43.5 43.5
    10·1 answer
  • What is the true solution to ln20+ln5=2lnx<br><br>A)x=5<br>B)x=10<br>C)x=50<br>D)x=100
    12·1 answer
  • Need help with 25-33 I need them from decimal to percents. I just got off break today and need this done so I can sleep
    15·1 answer
  • What are the solutions of x^2-2x+5=0
    13·1 answer
  • PLEASE HELP MEEEE ill mark brilliance!!!!
    9·1 answer
  • Question 5
    10·1 answer
  • HELP ASAP IM IN TR$OUBLE NOWWWWWW
    5·1 answer
  • HELP HELP HELP HELP PLEASE
    10·2 answers
  • (TIME SENSITIVE PLEASE HELP) Use matrices to determine the coordinates of the vertices of the reflected figure. Then graph the p
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!