Use method of cross-multiplication to solve : (i) 2x + y = 8 and 3x - 2y = 5 (ii) x + 4y = 3 and 2x + 9y = 5

(i) Given, equations : ⇒ 2x + y = 8 and 3x - 2y = 5 ⇒ 2x + y - 8 = 0 ...............(1) ⇒ 3x - 2y - 5 = 0 ...............(2) If the two equations are a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0. By cross-multiplication method : Now substitute the values, we get: ⇒ ⇒ ⇒ ⇒ x = and y = ⇒ x = 3 and y = 2 Hence, the value of x = 3 and y = 2. (ii) Given, equations : ⇒ x + 4y = 3 and 2x + 9y = 5 ⇒ x + 4y - 3 = 0 ...............(1) ⇒ 2x + 9y - 5 = 0 ...............(2) If the two equation are a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0. By using the method of cross - multiplication Now substitute the values, we get: ⇒ ⇒ ⇒ ⇒ x = and y = ⇒ x = 7 and y = -1 Hence, the value of x = 7 and y = -1.

View Answer Bookmark Now

Solve :
217x + 131y = 913
131x + 217y = 827

View Answer Bookmark Now

Seven times a two digit number is equal to four times the number obtained by reversing the order of digits. Find the number, if the difference between its digits is 3.

View Answer Bookmark Now

A and B each have a certain number of mangoes. A says to B, "If you give 30 of your mangoes, I will have twice as many as left with you". B replies, "If you give me 10, I will have thrice as many as left with you". How many mangoes does each have ?

View Answer Bookmark Now

Mathematics

Use method of cross-multiplication to solve :
(i) 2x + y = 8 and 3x - 2y = 5
(ii) x + 4y = 3 and 2x + 9y = 5

Linear Equations

Related Questions

Solve :
217x + 131y = 913
131x + 217y = 827

Seven times a two digit number is equal to four times the number obtained by reversing the order of digits. Find the number, if the difference between its digits is 3.

A and B each have a certain number of mangoes. A says to B, "If you give 30 of your mangoes, I will have twice as many as left with you". B replies, "If you give me 10, I will have thrice as many as left with you". How many mangoes does each have ?

Mathematics

Use method of cross-multiplication to solve :(i) 2x + y = 8 and 3x - 2y = 5(ii) x + 4y = 3 and 2x + 9y = 5

Linear Equations

Related Questions

Solve :217x + 131y = 913131x + 217y = 827

Seven times a two digit number is equal to four times the number obtained by reversing the order of digits. Find the number, if the difference between its digits is 3.

A and B each have a certain number of mangoes. A says to B, "If you give 30 of your mangoes, I will have twice as many as left with you". B replies, "If you give me 10, I will have thrice as many as left with you". How many mangoes does each have ?

Use method of cross-multiplication to solve :
(i) 2x + y = 8 and 3x - 2y = 5
(ii) x + 4y = 3 and 2x + 9y = 5

Solve :
217x + 131y = 913
131x + 217y = 827