357 miles in 5 hours how many miles per hour
2 answers:
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Answer:
x = -18
Explanation:
To solve this problem easily, we can cross multiply. You would multiply the numerator of the first fraction by the denominator of the second, and multiply the numerator of the second fraction by the denominator of the first. In this case, (x-7) would be multiplied by 4 and 5 would be multiplied by (x-2). The answers from these two calculations would each be one side of the equation.
After doing this, you can solve and isolate x.
Work is shown in the attached picture.
<h2><u>1. Determining the value of x and y:</u></h2>
Given equation(s):
To determine the point of intersection given by the two equations, it is required to know the x-value and the y-value of both equations. We can solve for the x and y variables through two methods.
<h3 /><h3><u>Method-1: Substitution method</u></h3>Given value of the y-variable: 3x - 1
Substitute the given value of the y-variable into the second equation to determine the value of the x-variable.
Combine like terms as needed;
Add 1 to both sides of the equation;
Divide 6 to both sides of the equation;
Now, substitute the value of the x-variable into the expression that is equivalent to the y-variable.
Therefore, the value(s) of the x-variable and the y-variable are;
Convert the equations into slope intercept form;
Clearly, we can see that "y" is isolated in both equations. Therefore, we can subtract the second equation from the first equation.
Now, we can cancel the "y-variable" as y - y is 0 and combine the equations into one equation by adding 3x to 3x and 7 to -1.
This problem is now an algebraic problem. Isolate "x" to determine its value.
Like done in method 1, substitute the value of x into the first equation to determine the value of y.
Therefore, the value(s) of the x-variable and the y-variable are;
The point on a coordinate plane is expressed as (x, y). Simply substitute the values of x and y to determine the intersection point given by the equations.
⇒ (x, y) ⇒ (-1, -4)
Therefore, the point of intersection is (-1, -4).
<h3>Graph:</h3>