Use the distributive property to solve the following equation: 2 + 4(2z + 3) = 15

Mathematics

2 answers:

enyata [817]3 years ago

6 0

Answer:

8z+12

Step-by-step explanation:

pickupchik [31]3 years ago

6 0

<h2><u><em>Answer:</em></u></h2><h2><u><em>z=18</em></u></h2><h2><u><em>Step-by-step explanation:</em></u></h2><h2><u><em>2+4(2z+3)=15</em></u></h2><h2><u><em>Step 1: Simplify both sides of the equation.</em></u></h2><h2><u><em>2+4(2z+3)=15</em></u></h2><h2><u><em>2+(4)(2z)+(4)(3)=15(Distribute)</em></u></h2><h2><u><em>2+8z+12=15</em></u></h2><h2><u><em>(8z)+(2+12)=15(Combine Like Terms)</em></u></h2><h2><u><em>8z+14=15</em></u></h2><h2><u><em>8z+14=15</em></u></h2><h2><u><em>Step 2: Subtract 14 from both sides.</em></u></h2><h2><u><em>8z+14−14=15−14</em></u></h2><h2><u><em>8z=1</em></u></h2><h2><u><em>Step 3: Divide both sides by 8.</em></u></h2><h2><u><em>8z8=18z=18</em></u></h2>

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3 years ago

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Work out the equation of<br> the line that goes through<br> (3, 2) and (-1, 10)

Natali5045456 [20]

Answer:

$The\,\,equation\,\,will\,\,be\,\,2x+y=8$

Step-by-step explanation:

Let, A=(3,2)

B=(-1,10)

So, The equation will be

$\frac{x-x_{1} }{x_{1} -x_{2} } =\frac{y-y_{1} }{y_{1} -y_{2} } \\=>\frac{x-3 }{3-(-1) } =\frac{y-2 }{2-10} \\=>\frac{x-3 }{4} =\frac{y-2 }{-8}\\=>-8x+24=4y-8\\=>8x+4y=32\\=>2x+y=8$