2+1/6y=3x+4 for y can someone please help

Mathematics

2 answers:

Mashutka [201]2 years ago

4 0

It would be y=18x+12

Maksim231197 [3]2 years ago

3 0

Answer:
y=18x+12

Explanation:
2+1/6y=3x+4
Subtract both sides by 2
2+1/6y-2=3x+4-2
1/6y=3x+2
Multiply both sides by 6 (to get rid of the denominator)
1/6y*6=3x*6+2*6
y=18x+12

I hope this helps!

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Need to show my work

dalvyx [7]

Answer:

$\large\boxed{x=\dfrac{5}{4},\ y=\dfrac{15}{16}}$

Step-by-step explanation:

$\left\{\begin{array}{ccc}y=\dfrac{3}{4}x&(1)\\\dfrac{5}{2}x+2y=5&(2)\end{array}\right\\\\\text{Substitute}\ (1)\ \text{to}\ (2):\\\\\dfrac{5}{2}x+2\left(\dfrac{3}{4}x\right)=5\\\\\dfrac{5}{2}x+\dfrac{3}{2}x=5\\\\\dfrac{5+3}{2}x=5\\\\\dfrac{8}{2}x=5\\\\4x=5\qquad\text{divide both sides by 4}\\\\x=\dfrac{5}{4}$