Question

if 3x + 4y = 7 and 10x-y=9, then the Value of 4x +6y is​

Answer 1

Answer:

Hello friend your answer is 10

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Answer 2

Question :-

if 3x + 4y = 7 and 10x-y=9, then the Value of 4x +6y is

Answer :-

• 4x + 6y = 10

Step by step explanation :-

Given equation,

$\rm:\longmapsto{3x + 4y = 7 - - - - (1)} \\ \\ \rm:\longmapsto{10x - y = 9 - - - - (2)}$

First we find the value of x and y then find the value of 4x + 6y.

Multiplying equation (2) by 4,

$\rm:\longmapsto{40x - 4y = 36 - - - - (3)}$

Adding equation (1) and equation (3),

$\rm:\longmapsto{3x + 4y + (40x - 4y) = 7 + 36} \\ \\ \rm:\longmapsto{3x + 40x + 4y - 4y = 43} \: \: \: \: \: \: \: \: \: \: \\ \\ \rm:\longmapsto{43x = 43} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \rm:\longmapsto{x = \frac{43}{43} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bf:\longmapsto \red{x = 1} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Substituting x = 1 in equation (1)

$\rm:\longmapsto{3(1) + 4y = 7} \\ \\ \rm:\longmapsto{3 + 4y = 7} \: \: \: \: \: \: \\ \\ \rm:\longmapsto{4y = 7 - 3} \: \: \: \: \: \: \\ \\ \rm:\longmapsto{4y = 4} \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \rm:\longmapsto{y = \frac{4}{4} } \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bf:\longmapsto \red{y = 1} \: \: \: \: \: \: \: \: \: \: \: \: \:$

We have,

• x = 1
• y = 1

Finding

$\rm:\longmapsto{4x + 6y =4(1) + 6(1) } \\ \\ \rm:\longmapsto{4x + 6y = 4 + 6} \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \bf:\longmapsto \red{4x + 6y = 10} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

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If,4x+6y=11, 6x+4y=9. Find the value of x+y.

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