Solve 4*3k+1/13+72k-8/13>2

$$4 \times \frac { 3 k + 1 } { 13 } + 7 \frac { 2 k - 8 } { 13 } > 2$$

Solve for k

$$k>3$$

Solution Steps

Multiply both sides of the equation by 13. Since 13 is positive, the inequality direction remains the same.

$$4\left(3k+1\right)+7\left(2k-8\right)>26$$

Use the distributive property to multiply 4 by 3k+1.

$$12k+4+7\left(2k-8\right)>26$$

Use the distributive property to multiply 7 by 2k-8.

$$12k+4+14k-56>26$$

Combine 12k and 14k to get 26k.

$$26k+4-56>26$$

Subtract 56 from 4 to get -52.

$$26k-52>26$$

Add 52 to both sides.

$$26k>26+52$$

Add 26 and 52 to get 78.

$$26k>78$$

Divide both sides by 26. Since 26 is positive, the inequality direction remains the same.

$$k>\frac{78}{26}$$

Divide 78 by 26 to get 3.

$$k>3$$