5х + y = 16 х+ 6у = 38
1 answer:
Answer:
Step-by-step explanation:
Solve by substitution. Solve the second equation for x:
Insert the value of x into the first equation:
Solve for y. Simplify multiplication using the distributive property:
Subtract 190 from both sides:
Isolate the variable to find its value. Divide both sides by -29:
Now take the value of y and insert back into either equation to solve for x:
Subtract 6 from both sides:
Divide both sides by 5:
Therefore, the solution to the system is .
:Done
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One of the ways to graph this is to use plug in a few x-values and get an idea of the shape. Since the x values keep getting squared, there is an exponential increase on either side of the y-axis. You can see this by plugging in a few values:
When
x=0,f(x)=0
x=1,f(x)=1^2=1
x=2,f(x)=2^2=4
x=3,f(x)=3^2=9
x=4,f(x)=4^2=16
The same holds true for negative x-values to the left of the y-axis since a negative value squared is positive. For example,
x=−1,f(x)=(−1)2=1*−1=1
x=2,f(x)=(−2)2=−2*−2=4
The graph of f(x)=x^2 is called a "Parabola." It looks like this:
