What if a system of equations equals zero?
For an answer to have an infinite solution, the two equations when you solve will equal 0=0 . If you solve this your answer would be 0=0 this means the problem has an infinite number of solutions. For an answer to have no solution both answers would not equal each other.
How do you equate two equations?
Since both equations are in the form y = f(x) we can equate the right hand sides of the equations and solve for x. 2x +2 = −x + 5 3x = 3 x = 1. We can now substitute x = 1 into either equation to find y: y = 2(1) + 2 = 4.
What does it mean to equate two equations?
Equivalent equations are algebraic equations that have identical solutions or roots. Adding or subtracting the same number or expression to both sides of an equation produces an equivalent equation. Multiplying or dividing both sides of an equation by the same non-zero number produces an equivalent equation.
What does it mean when a system of equations equal each other?
Two systems of equations are equivalent if they have the same solution(s). Systems of equations that have the same solution are called equivalent systems.
Why do we set an equation equal to zero?
The roots are the points where y = 0. You want to factor the equation to the form y = (x – a)(x – b). If you multiply two numbers and their product is 0, then one of the numbers must be 0. That is why we set the quadratic equal to 0.
Can a linear equation equal 0?
A linear function can have none, one, or infinitely many zeros. If the function is a horizontal line ( slope = 0 ), it will have no zeros unless its equation is y=0 , in which case it will have infinitely many. If the line is non-horizontal, it will have one zero.
Can you add two equations together?
The first method of solving systems of linear equations is the addition method, in which the two equations are added together to eliminate one of the variables. an equation. Since the left and right sides of any equation are equal to each other, we are indeed adding the same amount to both sides of an equation.
Why can you add two equations?