What is the value of k? show your work.
5/4(2-k) =2 (3k-1) - 2/3k

(5k-2)/(3k)=7

Step-by-step explanat

Multiply each term by k k and simplify. T 5 k 3 − 2 3 = 7 k 5k3-23=7k Move all terms containing k k to the left side of the equation. Tap for more steps... − 2 ( 8 k + 1 ) 3 = 0 -2(8k+1)3=0 Multiply both sides of the equation by − 3 2 -32. − 3 2 ⋅ ( − 2 ( 8 k + 1 ) 3 ) = − 3 2 ⋅ 0 -32⋅(-2(8k+1)3)=-32⋅0 Simplify both sides of the equation.  8 k + 1 = 0 8k+1=0 Subtract 1 1 from both sides of the equation. 8 k = − 1 8k=-1 Divide each term by 8 8 and simplify.  k = − 1 8 k=-18 The result can be shown in multiple forms. Exact Form: k = − 1 8 k=-18 Decimal Form: k = − 0.125 k=-0.125 5 k − 2 3 k = 7 5k-23k=7

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

step-by-step explanation:

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