9514 1404 393
Answer:
(x, y) = (-1, -3)
Step-by-step explanation:
The equations are "consistent" and "not dependent." This will be the case whenever the ratios of x- and y-coefficients are different.
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We can solve this by "elimination" by multiplying the first equation by -4 and adding the result of the second equation being multiplied by 7.
-4(2x -7y) +7(7x -4y) = -4(19) +7(5)
-8x +28y +49x -28y = -76 +35 . . . . eliminate parentheses
41x = -41 . . . . . simplify
x = -1 . . . . . . . divide by 41
Using the second equation, we find y to be ...
(7x -5)/4 = y = (7(-1) -5)/4 = -12/4 = -3
So, the solution is (x, y) = (-1, -3).
Answer:
2.
3.
Step-by-step explanation:
<em>In general we can write a polynomial in standard form as </em>

<em>Given</em> 
<em>Combine the like terms: 4m and -4m</em>
<em>4m-4m=0</em>
<em>We have 4m-4m=0</em>
<em>So, write the remaining terms</em>

= 
<em>This is in decreasing order of powers.</em>
<em>Hence the answer is the standard form is</em>

<em>But in the given options, you can choose option 2 and option 3 are in standard form.</em>
<em>Because they are in decreasing order of powers.</em>
<em>In other two options, the constants term is first and the highest power term is at the last. So, they are not in standard form.</em>
<em>-2m^4-6m^2+4m+9</em>
<em>-2m^4-6m^2-4m+9</em>
<em>I hope this helps you.</em>
<em>And please comment if I need to do corrections.</em>
<em>Please let me know if you have any questions.</em>
Let's solve your equation step-by-step.
<span><span><span><span>4<span>x^2</span></span>+<span>28x</span></span>−32</span>=0
</span>Step 1: Factor left side of equation.
<span><span><span>4<span>(<span>x−1</span>)</span></span><span>(<span>x+8</span>)</span></span>=0
</span>Step 2: Set factors equal to 0.
<span><span><span>x−1</span>=<span><span><span>0<span> or </span></span>x</span>+8</span></span>=0
</span><span><span>x=<span><span>1<span> or </span></span>x</span></span>=<span>−<span>8</span></span></span>