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Sagot :
Set the equations equal to each other since the x will be the same. Get like terms on the same side and solve.
2x-5=-2/3x+3
2x-5+5=-2/3x+3+5
2x=-2/3x+8
2x+2/3x=-2/3x+2/3x+8
2 2/3x=8
8/3x=8
(3/8)8/3x=8(3/8)
x=3
x=3
2x-5=-2/3x+3
2x-5+5=-2/3x+3+5
2x=-2/3x+8
2x+2/3x=-2/3x+2/3x+8
2 2/3x=8
8/3x=8
(3/8)8/3x=8(3/8)
x=3
x=3
Answer:
See below ↓
Step-by-step explanation:
Let's find the x and y values.
Step 1 : Equate the y expressions.
- The two equations have given different values for y
- Therefore by equating them, we can solve for x
- 2x - 5 = -2/3x + 3
Step 2 : Convert fractions in the equation to whole numbers.
- The value -2/3 is a fraction
- We can make it a whole number if multiply throughout by the value of its denominator ⇒ 3
- 3(2x - 5) = 3(-2/3x + 3)
- 6x - 15 = -2x + 9
Step 3 : Bring x terms to one side and constant terms to the other.
- 6x + 2x = 9 + 15
- 8x = 24
- x = 3
Step 4 : Solve for y by plugging the value of x into one of the given equations.
- y = 2(3) - 5
- y = 6 - 5
- y = 1
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