Explanation:
We usually use graphs to solve two linear equations in two unknowns.
The basic idea is that a graph of an equation is the pictorial representation of all of the points that satisfy the equation. So, where the graph of one equation crosses the graph of another, the point where they cross will satisfy both equations.
Finding a solution means finding values of the variables that satisfy all of the equations. Hence, the point of intersection is the solution of the equations.
__
To solve linear equations by graphing, graph each of the equations. Then find the coordinates of the point where the lines intersect. Those coordinates are the solution to the equations.
If the solution is not at a grid point on the graph, determining its exact value may not be easy. This can often be aided by a graphing calculator, which can often tell you the point of intersection to calculator accuracy.
__
If the lines don't intersect, there are no solutions. If they are the same line (intersect everywhere), then there are an infinite number of solutions.
I would personally take the number three and trow it out the window but that's not what we are talking about
Answer:
add 5 then multiply by 1/2
Step-by-step explanation:
Twice a number is 2n.
The difference of twice a number and five 2n - 5.
The difference of twice a number and five is three. 2n - 5 = 3
2n - 5 = 3
2n - 5 + 5 = 3 + 5 (1) add 5
2n = 8
1/2*2n = 1/2*8 (2) multiply by 1/2
n = 4
Answer:
25 ft
Step-by-step explanation:
This is a right triangle, so we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
15^2 + 20 ^2 = x^2
225+400= x^2
625 = x^2
Take the square root of each side
sqrt(625) = sqrt(x^2)
25 = x