(x, y) = ( ,
)
given the 2 equations
5x - 3y - 10 = 0 → (1)
x + y - 7 = 0 → (2)
rearrange (2) to obtain y in terms of x
y = 7 - x → (3)
Substitute y = 7 - x into (1)
5x - 3(7 - x) - 10 = 0
5x - 21 + 3x - 10 = 0
8x - 31 = 0 ( add 31 to both sides )
8x = 31 ( divide both sides by 8 )
x =
Substitute this value into (3) for y
y = 7 - x = -
=
Answer:
Step-by-step explanation:
<u><em>AAS theorem: </em></u><em>If two angles and a non-included side of one triangle are congruent to corresponding two angles and a non-included side of second triangle, then the triangles are congruent.</em>
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1). ∠N ≅ ∠L Given
2). JK ≅ MK Given
3). ∠JKN ≅ ∠MKL Vertical
4). ΔJKN ≅ ΔMKL AAS theorem of congruence.
