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s344n2d4d5 [400]
3 years ago
12

Suppose x = 5 is a solution to the equation 4x − 3(x + a) = 2. Find the value of a that makes the equation true.

Mathematics
1 answer:
DochEvi [55]3 years ago
4 0

Answer:

a = 1

Step-by-step explanation:

Given

4x - 3(x + a) = 2

x  = 5

Required

Determine the value of a

4x - 3(x + a) = 2

Substitute 5 for x

4(5) - 3(5 + a) = 2

Open all brackets

20 - 15 - 3a = 2

5 - 3a = 2

Collect Like Terms

-3a = 2 - 5

-3a = -3

Solve for a

a = -3/-3

a = 1

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Brian, Alex & Colin share some money in the ratio 1:9:3.
fiasKO [112]

Answer:

Step-by-step explanation:

1:9:3

brian gets x

alex gets 9x

colin gets 3x

Brian and colin receive 40

x + 3x = 40

x = 10

alex gets 9x = £90

3 0
3 years ago
Please help 70 Brainly points thanks
Cloud [144]

Answer:

9) x=58

10) r=4

11) m=4

12) p=3

13) x=6

14) x=-3

15) s=400

Step-by-step explanation:

9) x+2/5=12

    x5  x5

x+2=60

 -2  -2

x=58

10) 7r + 14 - 3r =30

    -14         -14

<u>7r-3r</u>=16

4r=16

÷4 ÷4

r=4

11) \frac{4}{5}m+2=6

    -2  -2

\frac{4}{5}m=4

÷\frac{4}{5}  ÷\frac{4}{5}

m=4

12) <u>2</u>(5p+9)=48

10p+18=48

     -18  -18

10p=30

÷10  ÷10

p=3

13) <u>5</u>(2x-8)=20

10x-40=20

    +40 +40

10x=60

÷10  ÷10

x=6

14)<u>6</u>(3-2x)=54

18-12x=54

-18       -18

-12x=36

÷-12  ÷-12

x=-3

15) \frac{2s}{5}-\frac{s}{2}=40

x5   x5

2s-\frac{s}{2}=200

    x2 x2

<u>2s-1s</u>=400

1s=400

÷1  ÷1

s=400

6 0
3 years ago
Read 2 more answers
I NEED HELP!!!!!! 4x+2x-5=7x-1
yan [13]

Let's solve your equation step-by-step.

4x+2x−5=7x−1

Step 1: Simplify both sides of the equation.

4x+2x−5=7x−1

4x+2x+−5=7x+−1

(4x+2x)+(−5)=7x−1(Combine Like Terms)

6x+−5=7x−1

6x−5=7x−1

Step 2: Subtract 7x from both sides.

6x−5−7x=7x−1−7x

−x−5=−1

Step 3: Add 5 to both sides.

−x−5+5=−1+5

−x=4

Step 4: Divide both sides by -1.

−x

−1

=

4

−1

x=−4

Answer:

x=−4

i hope this helps you

3 0
3 years ago
Find measure of angle M
Oksana_A [137]

Answer:

5x+18+4x-9=360

9x+9=360

9x=360-9

9x=351

x=351/9

x=39

therefore, <M=4(39)-9

<M=156-9

<M=147°

6 0
3 years ago
Read 2 more answers
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