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Identify For each ordered pair, determine whether it is a solution to the system of equa y = -4x+9 7x+ 5y = -7 ​

Identify For each ordered pair, determine whether it is a solution to the system of-example-1
User Jay Temp
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1 Answer

5 votes

Answer:

(4, - 7 ) is the only solution to the system of equations

Explanation:

to determine if a point is a solution to the system of equations

substitute the coordinates of each point into the equations and check for validity.

Note that for a point to be a solution it must satisfy BOTH equations

y = - 4x + 9

7x + 5y = - 7

(2, 1 )

y = - 4(2) + 9 = - 8 + 9 = 1 ← True

7(2) + 5(1) = 14 + 5 = 19 ≠ 1 ← False

Only 1 equation is satisfied

(2, 1 ) is NOT a solution

(- 6, - 3 )

y = - 4(- 6) + 9 = 24 + 9 = 33 ≠ - 3 ← False

7(- 6) + 5(- 3) = - 42 - 15 = - 57 ≠ - 3 ← False

Neither of the 2 equations are satisfied

(- 6, - 3 ) is NOT a solution

(4, - 7 )

y = - 4(4) + 9 = - 16 + 9 = - 7 ← True

7(4) + 5(- 7) = 28 - 35 = - 7 ← True

Both equations are satisfied

(4, - 7 ) is a Solution

(- 1, 0 )

y = - 4(- 1) + 9 = 4 + 9 = 13 ≠ 0 ← False

7(- 1) + 5(0) = - 7 + 0 = - 7 ← True

Only 1 equation is satisfied

(- 1, 0 ) is NOT a solution

User Zev Eisenberg
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