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ivann1987 [24]
3 years ago
9

Solve for a. 7a-2b = 5a+b

Mathematics
2 answers:
andrew11 [14]3 years ago
8 0

Answer:  The required value of a is \dfrac{3}{2}b.

Step-by-step explanation:  We are given to solve the following equation for variable a :

7a-2b=5a+b~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

To solve the above equation for a, we need to take terms involving a on one side of equality that that involving b on the other side.

So, from equation (i), we get

7a-2b=5a+b\\\\\Rightarrow 7a-5a=b+2b\\\\\Rightarrow 2a=3b\\\\\Rightarrow a=\dfrac{3}{2}b.

Thus, the required value of a is \dfrac{3}{2}b.

nordsb [41]3 years ago
7 0
7a-2b = 5a + b
2a=3b
a = 3b/2
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−14 + 6x + 7 − 2x = 1 + 5x<br> please answer this problem with work
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Let's solve your equation step-by-step.<span><span><span><span><span>− 14 </span>+ <span>6x </span></span>+ 7</span> −<span> 2x </span></span>=<span> 1 + <span>5x</span></span></span>
Step 1: Simplify both sides of the equation.<span><span><span><span><span>−14 </span>+ <span>6x </span></span>+ 7 </span>− <span>2x </span></span>=<span> 1 +<span> 5x</span></span></span><span>
Simplify: </span><span><span><span>4x - </span><span>7 </span></span>= <span><span>5x</span> + 1</span></span><span><span><span>4x</span> − 7</span>= <span><span>5x </span>+ 1</span></span>
Step 2: Subtract 5x from both sides.<span><span><span><span>4x</span> − 7</span> − <span>5x </span></span>= <span><span><span>5x </span>+ 1</span> −<span> 5x</span></span></span><span><span><span>− x </span>− 7 </span>=1 </span>
Step 3: Add 7 to both sides.<span><span><span><span>−x </span>− 7</span> + 7</span>=<span> 1+7</span></span><span><span>−x</span>=8</span>
Step 4: Divide both sides by -1.<span><span><span>‌<span><span>−x/</span><span>−1 </span></span></span>‌</span>=<span><span>‌<span> 8/<span>−1</span></span></span>‌</span></span><span>x=<span> −8</span></span>
Answer:<span>x= <span>−<span>8
hope this helps :)</span></span></span>
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