He equations 9 x minus 10 y = 6, 8 x minus 10 y = negative 23, 9 x + 10 y = negative 16, and 8 x + 10 y = 13 are shown on the graph below. on a coordinate plane, there are 4 lines. green line goes through (negative 2, 0.75) and (negative 2, 1.5). blue line goes through (negative 1.75, 0) and (1, negative 2). pink line goes through (negative 1.5, negative 2), and (1.5, 0.75). purple line goes through (0, 1.25) and (1, 0.5). which is the approximate solution for the system of equations 8 x minus 10 y = negative 23 and 9 x + 10 y = negative 16? (–2.3, 0.5) (–2.5, 1) (–2.3, –0.5) (–2.5, –1)
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Given : 8 x - 10 y = - 23
9 x + 10 y = - 16
To Find : approximate solution for the system of equations
(–2.3, 0.5)
(–2.5, 1)
(–2.3, –0.5)
(–2.5, –1)
Solution:
8 x - 10 y = - 23
9 x + 10 y = - 16
Add both
=> 17x = - 39
=> x = - 39/17
=> x = -2.29
=> x = - 2.3
8 x - 10 y = - 23 => 72x - 90y = -207
9 x + 10 y = - 16 => 72x + 80y = -128
=> 170y = 79
=> y = 79/170
=> y = 0.47
=> y = 0.5
(–2.3, 0.5) is approximate solution for the system of equations
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