I will try to solve your system of equations.<span><span><span>
x+y</span>=120</span>;<span><span><span>5.25x</span>+<span>3y</span></span>=517.2</span></span>
Step: Solve<span><span>x+y</span>=120</span>for x:<span><span><span>
x+y</span>+<span>−y</span></span>=<span>120+<span>−y</span></span></span>(Add -y to both sides)<span>x=<span><span>−y</span>+120</span></span>
Step: Substitute<span><span>−y</span>+120</span>forxin<span><span><span><span>5.25x</span>+<span>3y</span></span>=517.2</span>:</span><span><span><span>
5.25x</span>+<span>3y</span></span>=517.2</span><span><span><span>5.25<span>(<span><span>−y</span>+120</span>)</span></span>+<span>3y</span></span>=517.2</span><span><span><span>−<span>2.25y</span></span>+630</span>=517.2</span>(Simplify both sides of the equation)<span><span><span><span>−<span>2.25y</span></span>+630</span>+<span>−630</span></span>=<span>517.2+<span>−630</span></span></span>(Add -630 to both sides)<span><span>−<span>2.25y</span></span>=<span>−112.8</span></span><span><span><span>−<span>2.25y</span></span><span>−2.25</span></span>=<span><span>−112.8</span><span>−2.25</span></span></span>(Divide both sides by -2.25)<span>y=50.133333</span>
Step: Substitute50.133333foryin<span><span>x=<span><span>−y</span>+120</span></span>:</span><span>
x=<span><span>−y</span>+120</span></span><span>x=<span><span>−50.133333</span>+120</span></span><span>x=69.866667</span>(Simplify both sides of the equation)
Answer:<span><span>
x=<span><span>69.866667<span> and </span></span>y</span></span>=<span>50.133333</span></span>
Answer:
True
Step-by-step explanation:
Answer:
2.45c + 1.65c = 4.12 + 0.75
Step-by-step explanation:
To write an equation to find the value for c, we need to declare what c is first.
c = price of fruit
2.45c + 1.65c = 4.12 + 0.75
Now we multiplied c to 2.45 and 1.65 and added them together, because whatever the value of c is will give us the equivalence of the sum of 4.12 + 0.75.
Now to check if the equation is right, let's solve for c.
2.45c + 1.65c = 4.12 + 0.75
4.1c = 4.87
Now to get the value of c, we divide both sides of the equation by 4.1.
c = 1.19
Now let's substitute the value of c in the equation to see if we got it right.
2.45(1.19) + 1.65(1.19) = 4.12 + 0.75
2.92 + 1.96 = 4.87
4.87 = 4.87
Therefore concluding that the value of c is 1.19.
Answer:
Step-by-step explanation:
Without a second equation relating x and y, we can solve 3x - 1/2y = 2 ONLY for x in terms of y or for y in terms of x:
x in terms of y: Multiply all three terms of 3x - 1/2y = 2 by 2, to eliminate the fraction: 6x - y = 4. Now add y to both sides to isolate 6x: 6x = 4 + y.
Last, divide both sides by 6 to isolate x:
x = (4 + y)/6
y in terms of x:
y = 6x - 4
If you want a numerical solution, please provide another equation in x and y and solve the resulting system.
