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Johathan Wehner

Feb 20, 2025

Choose the graph that matches the following system of equations: 7x + 2y = −6 6x − 7y = 21

Choose the graph that matches the following system of equations: 7x + 2y = −6 6x − 7y = 21
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J
Johathan Wehner

Feb 20, 2025

(4) graph is correct.Step-by-step explanation: Given: the following system of equations:7x + 2y = −66x − 7y = 21We have to choose the correct graph for the given  system of equations.Consider the given system of equations:7x + 2y = −6   .....(1)6x − 7y = 21        .........(2)Multiply (1) by 7 and (2) by 2 , we have,( 7x + 2y = -6 ) × 7 , we have,49x + 14y = - 42 ........(3)( 6x − 7y = 21 ) × 2  , we have, 12x − 14y = 42  .............(4)Add (3) and (4) , we have,49x + 14 y  + (12x - 14y)= - 42 + 4249x + 12x = 0 x = 0 Put in (1) , we have,7(0) + 2y = −6   ⇒ 2y = -6 ⇒ y = -3Thus,  (0, -3)  is the solution. So, (4) graph is correct.... Show More
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