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kenny6666 [7]
3 years ago
12

7x +2y = 24 8x+2y= 30 What is x and y

Mathematics
2 answers:
Liula [17]3 years ago
7 0

Answer:

x = 6

y = -9

Step-by-step explanation:

we have:

7x +2y = 24    equation 1

8x+2y= 30     equation 2

using equation 2 we have:

8x = 30 -2y

x=\frac{30-2y}{8}  equation 3

using equation 3 in equation 1 we have:

7(\frac{30-2y}{8})+2y = 24

\frac{210}{8} - \frac{14y}{8} +2y =24\\\\\frac{1}{4}y = -\frac{18}{8}  \\\\y=-\frac{18}{8} * 4\\\\y=-9

so we have:

x=\frac{30-2(-9)}{8}

x=\frac{30+18}{8}

x=6

Luba_88 [7]3 years ago
5 0

For 7x +2y = 24, the answer for x is \frac{-2}{7}y+\frac{24}{7} and y is \frac{-7}{2}+12x

Solve: (x)Let's solve for x.

7x+2y=24

Step 1: Add -2y to both sides.

7x+2y+−2y=24+−2y

7x=−2y+24

Step 2: Divide both sides by 7.

7x/7=-2y+24/7

(y) Let's solve for y.

7x+2y=24

Step 1: Add -7x to both sides.

7x+2y+−7x=24+−7x

2y=−7x+24

Step 2: Divide both sides by 2.

2y/2=-7x+12/2

For 8x+2y= 30, the answer for x isx=\frac{-1}{4}y+\frac{15}{4} and y is y=-4x+15

Solve:(x)Let's solve for x.

8x+2y=30

Step 1: Add -2y to both sides.

8x+2y+−2y=30+−2y

8x=−2y+30

Step 2: Divide both sides by 8.

8x/8=-2y+30/8

(y)Let's solve for y.

8x+2y=30

Step 1: Add -8x to both sides.

8x+2y+−8x=30+−8x

2y=−8x+30

Step 2: Divide both sides by 2.

2y/2=-8x+30/2

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The jogging path at the park is 2.7 miles long. Miriam completed one lap of the path, walking part and jogging part. She hogs ha
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Miriam walks for 1.8 miles and jogs for 0.9 miles.

Step-by-step explanation:

The path for jogging is 2.7 miles.

One lap of the path, that is 2.7 miles, is completed by Miriam by jogging part and walking part.

Let the jogging part be x miles.

It is given she jogs half the distance she walks , therefore we can say that she walks for 2x miles.

So we can say that 2x + x  = 2.7 miles     ⇒    3x  = 2.7 miles

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1. Change both numbers to common base.

2. Use quotient rule a^x \div a^y = a^{x-y}

e)

You can write 9 as 3², then both numbers have the same base.

9^x = (3^2)^x = 3^{2x}, where x is the exponent

I cannot really see the exponents because picture is bad quality.

9^x \div 3^y =

= (3^2)^x \div 3^y =

=3^{2x} \div 3^y =

= 3^{2x-y}

You want to replace x and y with actual numbers, but as I said the picture is too bad.

f)

Convert to base 4, then quotient rule.

g)

Use the quotient rule, you already have same base.

h)

Convert to base \frac{2}{3}, then quotient rule.

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