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melamori03 [73]
3 years ago
9

Solve for x, in terms of y: 2 3 x + 1 5 y = 2

Mathematics
2 answers:
satela [25.4K]3 years ago
6 0

Answer:

(2/3)x - (1/5) y = 10. to solve for x in terms of y: (2/3)x - (1/5) y = 10. (2/3)x = 10 + (1/5)y. x = (10 + (1/5)y)(3/2). x = 15 + 3/10 y. if y = 0; x = 15. to solve for y in terms ...

Step-by-step explanation:

Studentka2010 [4]3 years ago
5 0

Answer:

x = 3 - 3/10y

Step-by-step explanation:

2/3 x + 1/5 y =2

Solve for x

Subtract 1/5 y from each side

2/3 x + 1/5 y -1/5y =2-1/5 y

2/3 x = 2 -1/5y

Multiply each side by 3/2 to isolate x

3/2 * 2/3x = 3/2(2- 1/5y)

Distribute

x = 3/2 *2 - 3/2 * 1/5y

x = 3 - 3/10y

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Solution:

The image of the question is attached below.

Step 1:

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combine like terms together.

$2 x-\frac{3}{5} x-\frac{1}{4}=\frac{55}{4}

To make the denominator same multiply and divide 2x by 5.

$\frac{10}{5} x-\frac{3}{5} x-\frac{1}{4}=\frac{55}{4}  

Step 2:

$\frac{7}{5} x-\frac{1}{4}=\frac{55}{4}

By addition property of equality, add \frac{1}{4} on both side of the equation.

$\frac{7}{5} x-\frac{1}{4}+\frac{1}{4}=\frac{55}{4}+\frac{1}{4}

Step 3:

$ \frac{7}{5} x=\frac{56}{4}

Step 4:

Multiply by \frac{5}{7} on both side of the equation.

x=10

Hence Rahul use addition property of equality in step 2.

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