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Serjik [45]
3 years ago
9

What value does each equation need to be multiplied by in order to eliminate the y terms equation 1 6x-5y=-4 equation 2 4x+2y=28

Mathematics
1 answer:
Alex777 [14]3 years ago
5 0
In order to eliminate the y term, you need to find what y is equal to in the equation.
1. 6x-5y=-4
-5y=-4-6x
Y=6/5x+4/5
You then sub in 6/5x+4/5 in for y in the equation
2. 4x+2y=28
2y=-4x+28
Y=-2x+14
Hope this helps!
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Contact [7]

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The solution for given system of equations is: x = 6 and y = 3

Or

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Step-by-step explanation:

Given equations are:

3x+4y=30\ \ \ Eqn\ 1\\3x-y=15\ \ \ \ Eqn\ 2

There are three methods to solve simultaneous equations

  1. Elimination
  2. Substitution
  3. Co-efficient method

We will use the elimination method as the coefficients of x in both equations are already same

Subtracting equation 2 from equation 1

3x+4y - (3x-y) = 30-15\\3x+4y-3x+y = 15\\5y = 15\\\frac{5y}{5} = \frac{15}{5}\\y = 3

Putting y = 3 in equation 2

3x-3 = 15\\3x = 15+3\\3x = 18\\\frac{3x}{3} = \frac{18}{3}\\x =  6

Hence,

The solution for given system of equations is: x = 6 and y = 3

Or

(6,3)

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