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
galina1969 [7]
2 years ago
13

Solve the simultaneous equations by substitution x-3y=-7 x=5-y

Mathematics
1 answer:
WINSTONCH [101]2 years ago
5 0

Answer:

x = 2, y = 3

Step-by-step explanation:

x - 3y = - 7 → (1)

x = 5 - y → (2)

Substitute x = 5 - y into (1)

5 - y - 3y = - 7

5 - 4y = - 7 ( subtract 5 from both sides )

- 4y = - 12 ( divide both sides by - 4 )

y = 3

Substitute y = 3 into (2)

x = 5 - 3 = 2

solution is (2, 3 )

You might be interested in
The length of a rectangle is 12 units longer than the width. The perimeter is 7 times the width. Find the length and the width o
katen-ka-za [31]

Log explanation below; answer is at bottom.

If the length, l, is 12 units longer than the width, w, then w = l - 12. If the perimeter, p,

p = 2l +2w,

is 7 x w, then

w = p/7

When two things are set equal to the same variable, they are equal to each other, so,

l - 12 = p/7

Now you need to get rid of the p so you are only working with one variable. To do this you plug in whatever p is equal to for p, so,

l - 12 = (2l + 2w)/7 now to get rid of the w do the same thing we did with p just for w. So,

l - 12 = (2l + 2(l - 12))/7

To solve this you want to multiply both sides by 7 first to get rid of the fraction.

7l - 84 = 2l + 2(l - 12)

Next you want to distribute the 2 over the l and the 12.

7l - 84 = 2l + 2l - 24

Next you want to combine like terms on each side.

7l - 84 = 4l - 24

Next add 84 and subtract 4l from sides to isolate the variable.

3l = 60

Now divide each side by 11 to get your answer.

l = 20.

To find the width,

w = l - 12  

Just plug in and solve.

w = 20 - 12

w = 8

So your length and width are 20 and 8.

l = 20

w = 8

7 0
3 years ago
Help me, please!!!!! CORRECT ANSWER GETS BRAINLIEST!!!!!!
zavuch27 [327]
Hello,

Here is your answer:

The proper answer to your question is..... 200,000=4x-20

When your doing questions like these make sure you pay attention to the question.

Your answer is 200,000=4x-20

If you need anymore help feel free to ask me!

Hope this helps!

7 0
3 years ago
Let f(x)=2x^2+7x-5 and g(x)=-8x^2-3x+5 what is g(x)+f(x)
ser-zykov [4K]
F(x) = 2x² + 7x - 5
g(x) = -8x² - 3x + 5
g(x) + f(x) = -8x² - 3x + 5 + 2x² + 7x - 5 = - 6x² + 4x

Answer: -6x² + 4x
4 0
3 years ago
Read 2 more answers
General form of the equation of a circle with its center at (-2, 1) and passing through (-4, 1)
jonny [76]

 

hello :<span>
<span>an equation of the circle Center at the A(a,b) and ridus : r is :
(x-a)² +(y-b)² = r²
in this exercice : a = -2 and b = 1 (Center at the A(-2,1))
r = AP......P( -4 , 1)
r² = (AP)²
r² = (4+2)² +(1-1)² = 36
an equation of the circle that satisfies the stated conditions.
Center at </span></span> A(-2,1), passing through P(-4, 1) is : (x+2)² +(y-1)² = 36

6 0
3 years ago
Find CE in the length indicated
nikdorinn [45]

Okay, to find length CE, your going to know the value of x. Length BC + CE = BD + DE.3x+47+x+26=27+x+10Simplify the equation to get4x+73=37+xyou can choose one of four ways to continue, but I will choose to subtract x3x+73=37Subtract 73 from both sides of the equal sign3x=-36divide by 3 on both sides of the equal sign to get the value of xx=-12Now, plug in -12 for x in length CE to get -12+26=14


5 0
3 years ago
Other questions:
  • How to turn a percent into a decimal
    13·2 answers
  • To cover A rectangle region of her yard penny needs atleast 170.5 square feet of sod. The length of the region is 15.5 feet. Wha
    13·1 answer
  • Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(2, −5, 6), C(4, −2, −1), D(3, 4, −4
    13·1 answer
  • Find 3 different ratios that are equivalent to 7:3.<br><br> Explain why these ratios are equivalent.
    7·1 answer
  • 29/1000
    12·1 answer
  • Someone please help :')
    13·1 answer
  • Find the simple interest on the following. 1 ) Rs 1,760 for 3 years 6 months at the rate of 12% p.a.​
    14·1 answer
  • A 5 foot tall person walks away from a 12 foot tall lamppost at a constant rate of 4 feet per second. What is the rate that the
    15·1 answer
  • a flat for sale sign has a perimeter of 58 inches. the length is 5 inches longer than the width. what is the width?
    13·1 answer
  • WHAT PERCENTAGE OF 513000 IS 488800?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!