Use the method of elimination to find the sol | vedclass

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Question

(A) Multiplying both equations by $10$ to remove decimals:$4x + 3y = 17$ ............. $(1)$$7x - 2y = 8$ ............. $(2)$To eliminate $y$,multiply

Vedclass · Accepted Answer

$(2, 3)$

Vedclass · Answer

(A) Multiplying both equations by $10$ to remove decimals:$4x + 3y = 17$ ............. $(1)$$7x - 2y = 8$ ............. $(2)$To eliminate $y$,multiply equation $(1)$ by $2$ and equation $(2)$ by $3$:$8x + 6y = 34$$21x - 6y = 24$Adding these two equations:$(8x + 21x) + (6y - 6y) = 34 + 24$$29x = 58$$x = \frac{58}{29} = 2$Substituting $x = 2$ in equation $(1)$:$4(2) + 3y = 17$$8 + 3y = 17$$3y = 17 - 8$$3y = 9$$y = 3$Thus,the solution is $(x, y) = (2, 3)$.

Use the method of elimination to find the solution of the following pair of linear equations: $0.4 x + 0.3 y = 1.7, 0.7 x - 0.2 y = 0.8$

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