Math  /  Algebra

QuestionUSING TOOLS Use technology to solve the system of linear equations. 7x+6y=00.5x+y=2\begin{array}{l} -7 x+6 y=0 \\ 0.5 x+y=2 \end{array}
The solution is: ( \square , \square

Studdy Solution

STEP 1

1. The system of equations consists of two linear equations.
2. We are using technology, such as a graphing calculator or computer software, to solve the system.
3. The solution will be a point (x,y)(x, y) where the two lines intersect.

STEP 2

1. Input the equations into the technology tool.
2. Use the tool to find the intersection point of the two lines.
3. Verify the solution by checking if the point satisfies both equations.

STEP 3

Input the first equation 7x+6y=0-7x + 6y = 0 into the technology tool.

STEP 4

Input the second equation 0.5x+y=20.5x + y = 2 into the technology tool.

STEP 5

Use the technology tool's function to find the intersection point of the two lines represented by the equations.

STEP 6

The tool calculates the intersection point, which is the solution to the system of equations.

STEP 7

Verify the solution by substituting the intersection point back into both original equations to ensure both are satisfied.

STEP 8

Substitute the xx and yy values from the solution into the first equation 7x+6y=0-7x + 6y = 0 and check if it holds true.

STEP 9

Substitute the xx and yy values from the solution into the second equation 0.5x+y=20.5x + y = 2 and check if it holds true.
The solution is: (x,y)=(4,0)(x, y) = (4, 0)

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