# Explain (in words) the method for solving the pair of simultaneous equations: 4x + 3y = 3 6x + 5y = 1

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by darwini

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by darwini

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6x + 5y = 1 equation 2

first we need to eleminate 1 varaible by equating eq. 1 to eq.2

4x + 3y - 3 = 6x + 5y - 1

since there is nothing that can be eliminated

we will multiply each side so that 1 variable will be eleminated.

3(4x + 3y - 3 = 6x + 5y - 1)2

we multiply eqaution 1 by 3 and

we multiply eqaution 2 by 2

we got

12x + 9y - 9 = 12x + 10y - 2

now 12x will be eliminated:

by transposition

12x + 9y - 9 - 12x - 10y + 2 = 0

-y-7=0

y = -7

substitute the value of y to equation 1

4x + 3y = 3

4x + 3(-7) = 3

4x - 21 = 3

4x = 21 + 3

4x/4 = 24/4

x = 6

checking:

4x + 3y = 3

4(6) + 3(-7) = 3

24 - 21 = 3

3 = 3 check