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How do you find the solution set for -5x+3y=35 and 3x+2y=-21?

Answer 1

Isaiah Anthony

x = - 7 ; y = 0

-5x+3y = 35 - 35 = 0 ------------ (1) Take 35 to the LHS

Take 21 to the LHS so that 3x+2y + 21 = 0 —------------(2)

Let us attempt to remove 'y'.

-5x+3y - 35 = 0 ------------(1) #xx# 2 - 10x + 6y - 70 = 0 -------------(3)

3x+2y + 21 = 0 --------------(2) #xx# 3 9x + 6y + 63 = 0 ---------------(4)

Since the values of equations (3) and (4) equal zero

Their LHS needs to match each other.

Bring all the unknowns to LHS and take integers to the RHS Simplify -

10x + 6y - 9x - 6y= 63 + 70
19x = 133 x = #133/(- 9) = - 7

Replace x = -7 in the first equation.

-5(-7) + 3y - 35 = 0 [Simplify] 35 + 3y - 35 = 0 3y = 0 y = 0

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Answer 2

Genesis Allen

To find the solution set, solve the system of equations simultaneously. You can use substitution, elimination, or matrices. Once you find the values for ( x ) and ( y ), express them as an ordered pair ((x, y)), which represents the solution set for the system of equations.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.