Solve the equation 8(3x - 6) = 6(4x + 8). Does the equation have one solution, no solution, or infinitely many solutions? Explain. ( worth two point, answer and explanation)

no solutions

Step-by-step explanation: Since there's 2 numbers on the outside with nothing to support, then you don't have a solution,

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Equation have No solutions

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For solving such problems we need to recall equations .

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When the value of two variable comes equal and zero in an equation then that equation is said to have infinitely many solutions . If the value of a variable have any particular constant then the equation is said to have one solution . If the value of of any variable comes undefine then the equation is said to have no solution .

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➠ 8( 3x - 6 ) = 6(4x + 8 )

➠ 24x - 48 = 24x + 48

Now, we will bring the variable on left hand side and constants on right hand side

➠ 24x - 24x = 48 + 48

➠ 0 = 48 + 48

➠ 0 = 96

As we can see the equation have end with a undefined value the equation have no solutions

➠ No Solutions

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b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b