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mart [117]
2 years ago
13

Solve this system. Write your answer as an ordered pair.

Mathematics
1 answer:
yarga [219]2 years ago
6 0
Y = -3 + 5x ----------------- (1)
3x - 8y = 24 --------------- (2)     

Solve by substitution. We will substitute equation (1) into equation (2):

------------------------------------------------------------
Substitute equation (1) into equation (2) :
------------------------------------------------------------
3x - 8y = 24                 // Equation (2)
3x - 8(-3 + 5x) = 24      // Sub x = -3 + 5x
3x + 24 - 40x = 24        // Apply distributive property
-37x + 24 = 24              // Combine like terms      
-37x = 0                        // Take away 24 from both sides
x = 0                             // Divide by -37 on both sides

Sub x = 0 into equation (1) :
y = - 3 + 5(0)                   // Sub x = 0
y = -3                               // Combine like terms

-----------------------------------------------
Answer : The ordered pair is (0, -3).
-----------------------------------------------      
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