Well, by using a yard stick. Using a ruler is too small, for a basketball court, because it measures both feet and inches, and since a court is WAY BIGGER than that, then you have to use a yard stick to measure it.
<span><span><span>x−<span>2y</span></span>=4</span>;<span><span><span>5x</span>−<span>3y</span></span>=34</span></span>Step: Solve<span><span>x−<span>2y</span></span>=4</span>for x:<span><span><span>x−<span>2y</span></span>+<span>2y</span></span>=<span>4+<span>2y</span></span></span>(Add 2y to both sides)<span>x=<span><span>2y</span>+4</span></span>Step: Substitute<span><span>2y</span>+4</span>forxin<span><span><span><span>5x</span>−<span>3y</span></span>=34</span>:</span><span><span><span>5x</span>−<span>3y</span></span>=34</span><span><span><span>5<span>(<span><span>2y</span>+4</span>)</span></span>−<span>3y</span></span>=34</span><span><span><span>7y</span>+20</span>=34</span>(Simplify both sides of the equation)<span><span><span><span>7y</span>+20</span>+<span>−20</span></span>=<span>34+<span>−20</span></span></span>(Add -20 to both sides)<span><span>7y</span>=14</span><span><span><span>7y</span>7</span>=<span>147</span></span>(Divide both sides by 7)<span>y=2</span>Step: Substitute2foryin<span><span>x=<span><span>2y</span>+4</span></span>:</span><span>x=<span><span>2y</span>+4</span></span><span>x=<span><span><span>(2)</span><span>(2)</span></span>+4</span></span><span>x=8</span><span>(Simplify both sides of the equation)</span>
Answer:
The solution for given system of equations is: x = 6 and y = 3
Or
(6,3)
Step-by-step explanation:
Given equations are:
There are three methods to solve simultaneous equations
- Elimination
- Substitution
- Co-efficient method
We will use the elimination method as the coefficients of x in both equations are already same
Subtracting equation 2 from equation 1
Putting y = 3 in equation 2
Hence,
The solution for given system of equations is: x = 6 and y = 3
Or
(6,3)
1/4 of 20 is 5.. and 5/10, 3/6, 2/4, 6/12 are all equal to 1/2
