Find The Number Of Solutions In A System Algebraically Quiz

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#1 of 7: Mild

Find the number of solutions in a system algebraically

Determine the number of solutions for the following system of equations:`y = 3/2x - 7``y = 3/2x - 8`<selectivedisplay>Number of solutions<ul><li>No solution</li><li>Exactly one solution</li><li>Infinitely many solutions</li><ul></selectivedisplay>

#2 of 7: Mild

Find the number of solutions in a system algebraically

Determine the number of solutions for the following system of equations:`y = 3/2x - 7``y = -x + 3`<selectivedisplay>Number of solutions<ul><li>No solution</li><li>Exactly one solution</li><li>Infinitely many solutions</li><ul></selectivedisplay>

#3 of 7: Medium

Find the number of solutions in a system algebraically

Determine the number of solutions for the following system of equations:`2x + 3y = -9``y = -2/3x - 3`<selectivedisplay>Number of solutions<ul><li>No solution</li><li>Exactly one solution</li><li>Infinitely many solutions</li><ul></selectivedisplay>

#4 of 7: Medium

Find the number of solutions in a system algebraically

Determine the number of solutions for the following system of equations:`-16x +8y = 5``y = 2x + 5/8`<selectivedisplay>Number of solutions<ul><li>No solution</li><li>Exactly one solution</li><li>Infinitely many solutions</li><ul></selectivedisplay>

#5 of 7: Spicy

Find the number of solutions in a system algebraically

Determine the number of solutions for the following system of equations:`5x - 2y = 16``x + y = 6`<selectivedisplay>Number of solutions<ul><li>No solution</li><li>Exactly one solution</li><li>Infinitely many solutions</li><ul></selectivedisplay>

#6 of 7: Spicy

Find the number of solutions in a system algebraically

Determine the number of solutions for the following system of equations:`2x + y = 7``6x + 3y = 21`<selectivedisplay>Number of solutions<ul><li>No solution</li><li>Exactly one solution</li><li>Infinitely many solutions</li><ul></selectivedisplay>

#7 of 7: Spicy

Find the number of solutions in a system algebraically

Determine the number of solutions for the following system of equations:`x + 2y = -4``-5x - 10y = 20`<selectivedisplay>Number of solutions<ul><li>No solution</li><li>Exactly one solution</li><li>Infinitely many solutions</li><ul></selectivedisplay>

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An equation that is of the form ax + by + c = 0 is called a linear equation. In this standard form of the equation, a, b, and c are real numbers and b is not equal to zero. In a linear equation, by comparing the coefficients of the variables of the equation, we can find the number of solutions that the linear equation has. We can easily find the number of solutions in a system algebraically using some simple steps.

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Grade 8

Transformations

8.G.A.1