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
Varvara68 [4.7K]
3 years ago
13

−3y−4x=−11 3y−5x=−61 ​

Mathematics
2 answers:
natulia [17]3 years ago
8 0

\left \{ {{-3y-4x=-11} \atop {3y-5x=-61}} \right. \\-9x=-72\\x=8\\3y-5*8=-61\\3y=-21\\y=-7\\\\(8;-7)

Vladimir [108]3 years ago
3 0

Answer:

x = 8

y = -7

Step-by-step explanation:

This is a system of equations called simultaneous equations.

We shall solve it by elimination method

Step 1

We shall label the equations (1) and (2)

−3y−4x=−11.....(1)

3y−5x=−61......(2)

Step 2

Multiply each term in equation (1) by 1 to give equation (3)

1(-3y-4x=-11).....(1)

-3y-4x=-11....(3)

Step 3

Multiply each term in equation 2 by -1 to give equation (4)

-1(3y−5x=−61)......(2)

-3y+5x=61.....(4)

Step 4

-3y-4x=-11....(3)

-3y+5x=61.....(4)

Subtract each term in equation (3) from each term in equation (4)

-3y-(-3y)+5x-(-4x)=61-(-11)

-3y+3y+5x+4x=61+11

0+9x=72

9x=72

Step 5

Divide both sides of the equation by 9, the coefficient of the unknown variable x to find the value of x

9x/9 = 72/9

x = 8

Step 6

Put in x = 8 into equation (2)

3y−5x=−61......(2)

3y-5(8)=-61

3y-40=-61

Collect like terms by adding 40 to both sides of the equation

3y-40+40=-61+40

3y=-21

Divide both sides by 3, the coefficient of y to find the value of y

3y/3=-21/3

y=-7

Therefore, the values of x and y that satisfy the equations are 8 and -7 respectively

You might be interested in
Can Someone please help me with this I don't know it?!?! I have a test on Friday!!! Thank You!
aleksklad [387]

Answer: a = 3.5

Step-by-step explanation:

14=4a

divide both sides by 4

14/4 = 3.5

4a/4 =1a or a

so a= 3.5

3 0
2 years ago
Read 2 more answers
Solve for x: 3x + 2x + 7 = 32
Leni [432]

Answer:

The answer is x = 5

Step-by-step explanation:

I added similar elements, then I subtracted 7 from both sides, next I divided by 5 both sides, and lastly I got x = 5 as my answer.

6 0
3 years ago
Read 2 more answers
8y - y + x + 3x simplified
vredina [299]

Answer:

7y+4x

Step-by-step explanation:

1. So the -y is 1 so you subtract one from the 8 which is 7.

2. x is also like a one so that would also equal 4

3 0
3 years ago
Read 2 more answers
Three points are collinear.
il63 [147K]
If they are in the same line yes. If they aren't then its considered non-collinear.
3 0
3 years ago
Read 2 more answers
-6.25x + 262.5 = 250
ZanzabumX [31]

Answer:

X=2

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • Factor the expression 3x^2+17x+24
    5·1 answer
  • How do you solve this fraction?
    14·1 answer
  • Hi. I was confused on how to solve for x in this problem
    14·1 answer
  • Find the exact length of the third side
    9·1 answer
  • Simplify: 6 to the the 6th power multiplied by 6 to the second power​
    10·1 answer
  • If one of each of these shirts was in a bag and you pulled one out, what is the probability that you would get a small blue shir
    14·1 answer
  • Sue at 30 cherries. She ate 5 times as many cherries as bob. How many cherries did bob eat
    5·2 answers
  • AC =<br> Round your answer to the nearest hundredth.<br> A<br> 70°<br> B<br> 3<br> C
    14·1 answer
  • What inequalities satisfy the region R in the diagram?
    5·1 answer
  • I need help bad I dont understand this
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!