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
ehidna [41]
2 years ago
9

What is the solution to this system of equations? 4x + 5y = 7

Mathematics
1 answer:
Nutka1998 [239]2 years ago
8 0

Answer:

(-2, 3)

Step-by-step explanation:

4x + 5y = 7

3x - 2y = -12

Let's solve this by elimination. We want to eliminate one variable at a time. This means we need to multiply the equations to create a common multiple to cancel out a variable.

Let's work with y.

5y and -2y: For these values to cancel out, we need to multiply each term to create a common multiple.

2(4x + 5y = 7)

5(3x - 2y = -12)

Multiply.

8x + 10y = 14

15x - 10y = -60

Eliminate.

23x = -46

Divide both sides by 23.

x = -2

Now that we know x, let's plug it back into one of equations to find y.

4x + 5y = 7

4(-2) + 5y = 7

Multiply.

-8 + 5y = 7

Add.

5y = 15

Divide.

y = 3

Now we know x and y; let's plug both back into the equation we have not checked yet.

3x - 2y = -12

3(-2) - 2(3) = -12

Multiply.

-6 - 6 = -12

Subtract.

-12 = -12

Your solution is correct.

(-2, 3)

Hope this helps!

You might be interested in
B / -7 = 4<br><br> solve question correctly
Shkiper50 [21]

Answer:

b/-7=4

b=4*-7

b= - 28

Step-by-step explanation:

If this helps you mark as brainlist.!

4 0
3 years ago
Read 2 more answers
How many x-intercepts will the graph of y = 3x2 + 6x + 3 have? (Use the discriminant to
KonstantinChe [14]

Answer:

i think D or B is the answer

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is 6 over 9 simplified
Snezhnost [94]

Answer:

2/3

Step-by-step explanation:

\frac{6}{9}

\frac{6}{9}  =  \frac{2 \times 3}{3 \times 3}

=  \frac{2}{3}  \times  \frac{3}{3}

=  \frac{2}{3}  \times 1 =  \frac{2}{3}

I hope it helped you

3 0
2 years ago
Read 2 more answers
Help me, please. This is past due. It's not that hard.
jasenka [17]

The slope of the line is \frac{2}{1} (or just 2) as it rises by 2 units and runs to the left by 1 unit.

7 0
2 years ago
Find the equation of the line that passes through the point of intersection of x + 2y = 9 and 4x -2y = -4 and the point of inter
Rudik [331]

Answer:

y=-6x+10

Step-by-step explanation:

The point of intersection of

x+2y=9...eqn1


and


4x-2y=-4...eqn2

is the solution of the two equations.


We add equation (1) and equation(2) to get,

x+4x+2y-2y=9+-4


\Rightarrow 5x=5


\Rightarrow x=1

We put x=1 into equation (1) to get,

1+2y=9

\Rightarrow 2y=9-1

\Rightarrow 2y=8

\Rightarrow y=4


Therefore the line passes through the point, (1,4).


The line also passes through the point of intersection of

3x-4y=14...eqn(3)

and

3x+7y=-8...eqn(4)

We subtract equation (3) from equation (4) to obtain,

3x-3x+7y--4y=-8-14


\Rightarrow 11y=-22

\Rightarrow y=-2


We substitute this value into equation (4) to get,

3x+7(-2)=-8


3x-14=-8


3x=-8+14


3x=6

x=2

The line also passes through

(2,-2)



The slope of the line is

slope=\frac{4--2}{1-2} =\frac{6}{-1}=-6


The equation of the line is

y+2=-6(x-2)

y+2=-6x+12


y=-6x+10 is the required equation





4 0
3 years ago
Other questions:
  • This is worth 4 marks
    5·1 answer
  • Which measurements would be correct for trapezoid EFGH if it were similar to trapezoids ABCD?
    15·2 answers
  • Which what is the algebraic expression for nine less dense some number
    7·1 answer
  • Choose an answer. Which sentence has pronoun-antecedent agreement?
    12·2 answers
  • Can someone help me plz
    10·1 answer
  • Find the volume of the sphere.
    14·1 answer
  • A cylinder is eight inches high with a radius of three inches. It contains a ball with a diameter of five inches. Approximately
    14·1 answer
  • A cube-shaped box has a volume of 27 cubic inches. Bethany says each side of the cube measures 9 inches because 9 × 3 = 27. Is B
    10·1 answer
  • Translate the sentence into an equation or formula.
    14·1 answer
  • G(x) = 4x-2;<br> Solve if g(x)= 14
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!