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When an equation has two variables, there are an infinite number of (x,y) pairs that solve it. The equation can be graphed as a straight, curved, or wiggly line, and every point on the line is a solution of the equation. There's no single (x,y) point until you have two separate equations. Then the solution is the point ... or few points ... where their graphs intersect.
This is the equation of a line in which the slope is 1 and the y-intercept is -4.
Draw the graph of the equation. the solution is/are the points where the line cuts the x(horisontal) axis .
You don't. An equation with two variables can be graphed as a line or a curve on x-y coordinates. When you do that, EVERY point on the line or curve satisfies the equation. You can't 'solve' it ... i.e. come up with unique values for 'x' and 'y' ... until you have another equation. It represents another line or curve on the graph, and the 'solution' represents the point (or points) where the graphs of the two equations intersect.
A linear equation in two variables will not have a single solution. Its solution set is a line in the Cartesian plane. The solution to non-linear equations will depend on the equation.
When an equation has two variables, there are an infinite number of (x,y) pairs that solve it. The equation can be graphed as a straight, curved, or wiggly line, and every point on the line is a solution of the equation. There's no single (x,y) point until you have two separate equations. Then the solution is the point ... or few points ... where their graphs intersect.
Substitution
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By using the formula for a straight line equation graphed on the Cartesian plane by means of the x and y axes.
This is the equation of a line in which the slope is 1 and the y-intercept is -4.
Draw the graph of the equation. the solution is/are the points where the line cuts the x(horisontal) axis .
You don't. An equation with two variables can be graphed as a line or a curve on x-y coordinates. When you do that, EVERY point on the line or curve satisfies the equation. You can't 'solve' it ... i.e. come up with unique values for 'x' and 'y' ... until you have another equation. It represents another line or curve on the graph, and the 'solution' represents the point (or points) where the graphs of the two equations intersect.
The solution of a linear equation in two variable comprises the coordinates of all points on the straight line represented by the equation.
Nobody can help you find a solution until you get another equation to go along with this one. Your equation has two variables in it ... 'x' and 'y' ... so it has no unique solution all by itself.
A linear equation in two variables will not have a single solution. Its solution set is a line in the Cartesian plane. The solution to non-linear equations will depend on the equation.
The solutions to a quadratic equation on a graph are the two points that cross the x-axis. NB A graphed quadratic equ'n produces a parabolic curve. If the curve crosses the x-axis in two different points it has two solution. If the quadratic curve just touches the x-axis , there is only ONE solution. It the quadratic curve does NOT touch the x-axis , then there are NO solutions. NNB In a quadratic equation, if the 'x^(2)' value is positive, then it produces a 'bowl' shaped curve. Conversely, if the 'x^(2)' value is negative, then it produces a 'umbrella' shaped curve.