Question

Graphically solve the equation x+y=3 and 3x-y=1

Answer 1

Step-by-step explanation:

If x=1 & y=2

then,

x+y=3

1+2=3

next equation

3x-y=1

(3×1)-2=1

here's your answer

Answer 2

Answer:

To solve the equations graphically, we need to plot the two straight lines on a graph and find the point where they intersect. This point will be the solution to the system of equations.

Step-by-step explanation:

To graph the equations, we can rewrite them in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

For the equation x + y = 3, we can solve for y to get y = -x + 3. This gives us a slope of -1 and a y-intercept of 3.

For the equation 3x - y = 1, we can solve for y to get y = 3x - 1. This gives us a slope of 3 and a y-intercept of -1.

We can use the intercepts we just found to plot these lines on a graph. For the first equation, the y-intercept is 3, so we can plot a point on the y-axis at (0, 3). Then, since the slope is -1, we can use the slope to find another point on the line. For example, we can move down 1 unit and right 1 unit to get to the point (1, 2), and then draw a line through the two points.

For the second equation, the y-intercept is -1, so we can plot a point on the y-axis at (0, -1). Then, since the slope is 3, we can use the slope to find another point on the line. For example, we can move up 3 units and right 1 unit to reach the point (1, 2), and then draw a line through the two points.

Once we plotted both lines on the same graph, we can find the point where they intersect. This point represents the solution to the system of equations. In this case, we can see that the lines intersect at the point (1, 2), so the solution to the system of equations is x = 1 and y = 2.

Visual solutions to systems of equations can be helpful in situations where algebraic methods may be difficult or time-consuming. However, it's important to note that not all systems of equations will have solutions that are easy to see graphically, and other methods may be required in those cases.

To learn more about intersects, click on the given link.

https://brainly.in/question/45053927

To learn more about equations, click on the given link.

https://brainly.in/question/48534636

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